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Finding the Fourth Proportional to 82,013.40, 123,024.96 and 25,855.29

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Solution

The fourth proportional to 82,013.40, 123,024.96 and 25,855.29 is: 38,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.40 : 123,024.96 = 25,855.29 : x
  2. Step 2: Convert to fraction form
    82,013.40/123,024.96 = 25,855.29/x
  3. Step 3: Cross multiply
    82,013.40x = 123,024.96 × 25,855.29
  4. Step 4: Simplify right side
    82,013.40x = 3,180,846,018.04
  5. Step 5: Solve for x
    x = 3,180,846,018.04/82,013.40
  6. Step 6: Final answer
    x = 38,784.47

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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.