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Finding the Fourth Proportional to 82.38, 123.03 and 70.23

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Solution

The fourth proportional to 82.38, 123.03 and 70.23 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 123.03 = 70.23 : x
  2. Step 2: Convert to fraction form
    82.38/123.03 = 70.23/x
  3. Step 3: Cross multiply
    82.38x = 123.03 × 70.23
  4. Step 4: Simplify right side
    82.38x = 8,640.40
  5. Step 5: Solve for x
    x = 8,640.40/82.38
  6. Step 6: Final answer
    x = 104.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.