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Finding the Fourth Proportional to 123,930.60, 185,691.10 and 105,498.60

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Solution

The fourth proportional to 123,930.60, 185,691.10 and 105,498.60 is: 158,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,930.60 : 185,691.10 = 105,498.60 : x
  2. Step 2: Convert to fraction form
    123,930.60/185,691.10 = 105,498.60/x
  3. Step 3: Cross multiply
    123,930.60x = 185,691.10 × 105,498.60
  4. Step 4: Simplify right side
    123,930.60x = 19,590,151,082.46
  5. Step 5: Solve for x
    x = 19,590,151,082.46/123,930.60
  6. Step 6: Final answer
    x = 158,073.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.