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Finding the Fourth Proportional to 159,691.71, 220,318.90 and 102,362.64

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Solution

The fourth proportional to 159,691.71, 220,318.90 and 102,362.64 is: 141,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,691.71 : 220,318.90 = 102,362.64 : x
  2. Step 2: Convert to fraction form
    159,691.71/220,318.90 = 102,362.64/x
  3. Step 3: Cross multiply
    159,691.71x = 220,318.90 × 102,362.64
  4. Step 4: Simplify right side
    159,691.71x = 22,552,423,988.40
  5. Step 5: Solve for x
    x = 22,552,423,988.40/159,691.71
  6. Step 6: Final answer
    x = 141,224.77

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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.