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Finding the Fourth Proportional to 101,732.55, 140,397.96 and 56,414.72

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Solution

The fourth proportional to 101,732.55, 140,397.96 and 56,414.72 is: 77,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,732.55 : 140,397.96 = 56,414.72 : x
  2. Step 2: Convert to fraction form
    101,732.55/140,397.96 = 56,414.72/x
  3. Step 3: Cross multiply
    101,732.55x = 140,397.96 × 56,414.72
  4. Step 4: Simplify right side
    101,732.55x = 7,920,510,899.98
  5. Step 5: Solve for x
    x = 7,920,510,899.98/101,732.55
  6. Step 6: Final answer
    x = 77,856.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.