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Finding the Fourth Proportional to 82.53, 124.29 and 74.50

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Solution

The fourth proportional to 82.53, 124.29 and 74.50 is: 112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 124.29 = 74.50 : x
  2. Step 2: Convert to fraction form
    82.53/124.29 = 74.50/x
  3. Step 3: Cross multiply
    82.53x = 124.29 × 74.50
  4. Step 4: Simplify right side
    82.53x = 9,259.61
  5. Step 5: Solve for x
    x = 9,259.61/82.53
  6. Step 6: Final answer
    x = 112.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.