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Finding the Fourth Proportional to 122,248.14, 168,712.14 and 71,956.86

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Solution

The fourth proportional to 122,248.14, 168,712.14 and 71,956.86 is: 99,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,248.14 : 168,712.14 = 71,956.86 : x
  2. Step 2: Convert to fraction form
    122,248.14/168,712.14 = 71,956.86/x
  3. Step 3: Cross multiply
    122,248.14x = 168,712.14 × 71,956.86
  4. Step 4: Simplify right side
    122,248.14x = 12,139,995,838.28
  5. Step 5: Solve for x
    x = 12,139,995,838.28/122,248.14
  6. Step 6: Final answer
    x = 99,306.18

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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.