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Finding the Fourth Proportional to 99,957.92, 137,938.16 and 54,635.52

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Solution

The fourth proportional to 99,957.92, 137,938.16 and 54,635.52 is: 75,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,957.92 : 137,938.16 = 54,635.52 : x
  2. Step 2: Convert to fraction form
    99,957.92/137,938.16 = 54,635.52/x
  3. Step 3: Cross multiply
    99,957.92x = 137,938.16 × 54,635.52
  4. Step 4: Simplify right side
    99,957.92x = 7,536,323,099.44
  5. Step 5: Solve for x
    x = 7,536,323,099.44/99,957.92
  6. Step 6: Final answer
    x = 75,394.96

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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.