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Finding the Fourth Proportional to 122,677.92, 169,324.56 and 77,940

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Solution

The fourth proportional to 122,677.92, 169,324.56 and 77,940 is: 107,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,677.92 : 169,324.56 = 77,940 : x
  2. Step 2: Convert to fraction form
    122,677.92/169,324.56 = 77,940/x
  3. Step 3: Cross multiply
    122,677.92x = 169,324.56 × 77,940
  4. Step 4: Simplify right side
    122,677.92x = 13,197,156,206.40
  5. Step 5: Solve for x
    x = 13,197,156,206.40/122,677.92
  6. Step 6: Final answer
    x = 107,575.64

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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.