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Finding the Fourth Proportional to 119,891.92, 165,517.14 and 72,157

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Solution

The fourth proportional to 119,891.92, 165,517.14 and 72,157 is: 99,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,891.92 : 165,517.14 = 72,157 : x
  2. Step 2: Convert to fraction form
    119,891.92/165,517.14 = 72,157/x
  3. Step 3: Cross multiply
    119,891.92x = 165,517.14 × 72,157
  4. Step 4: Simplify right side
    119,891.92x = 11,943,220,270.98
  5. Step 5: Solve for x
    x = 11,943,220,270.98/119,891.92
  6. Step 6: Final answer
    x = 99,616.56

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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.