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Finding the Fourth Proportional to 82,531.42, 123,523.29 and 75,152.86

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Solution

The fourth proportional to 82,531.42, 123,523.29 and 75,152.86 is: 112,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,531.42 : 123,523.29 = 75,152.86 : x
  2. Step 2: Convert to fraction form
    82,531.42/123,523.29 = 75,152.86/x
  3. Step 3: Cross multiply
    82,531.42x = 123,523.29 × 75,152.86
  4. Step 4: Simplify right side
    82,531.42x = 9,283,128,520.11
  5. Step 5: Solve for x
    x = 9,283,128,520.11/82,531.42
  6. Step 6: Final answer
    x = 112,479.93

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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.