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Finding the Fourth Proportional to 82,343.04, 123,514.56 and 20,013

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Solution

The fourth proportional to 82,343.04, 123,514.56 and 20,013 is: 30,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,343.04 : 123,514.56 = 20,013 : x
  2. Step 2: Convert to fraction form
    82,343.04/123,514.56 = 20,013/x
  3. Step 3: Cross multiply
    82,343.04x = 123,514.56 × 20,013
  4. Step 4: Simplify right side
    82,343.04x = 2,471,896,889.28
  5. Step 5: Solve for x
    x = 2,471,896,889.28/82,343.04
  6. Step 6: Final answer
    x = 30,019.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.