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Finding the Fourth Proportional to 159,691.97, 220,319.28 and 102,362.91

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Solution

The fourth proportional to 159,691.97, 220,319.28 and 102,362.91 is: 141,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,691.97 : 220,319.28 = 102,362.91 : x
  2. Step 2: Convert to fraction form
    159,691.97/220,319.28 = 102,362.91/x
  3. Step 3: Cross multiply
    159,691.97x = 220,319.28 × 102,362.91
  4. Step 4: Simplify right side
    159,691.97x = 22,552,522,629.90
  5. Step 5: Solve for x
    x = 22,552,522,629.90/159,691.97
  6. Step 6: Final answer
    x = 141,225.15

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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.