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Finding the Fourth Proportional to 82.57, 124.10 and 42.02

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Solution

The fourth proportional to 82.57, 124.10 and 42.02 is: 63.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 124.10 = 42.02 : x
  2. Step 2: Convert to fraction form
    82.57/124.10 = 42.02/x
  3. Step 3: Cross multiply
    82.57x = 124.10 × 42.02
  4. Step 4: Simplify right side
    82.57x = 5,214.68
  5. Step 5: Solve for x
    x = 5,214.68/82.57
  6. Step 6: Final answer
    x = 63.15

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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.