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Finding the Fourth Proportional to 119,446.20, 164,836.62 and 65,729.88

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Solution

The fourth proportional to 119,446.20, 164,836.62 and 65,729.88 is: 90,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,446.20 : 164,836.62 = 65,729.88 : x
  2. Step 2: Convert to fraction form
    119,446.20/164,836.62 = 65,729.88/x
  3. Step 3: Cross multiply
    119,446.20x = 164,836.62 × 65,729.88
  4. Step 4: Simplify right side
    119,446.20x = 10,834,691,252.21
  5. Step 5: Solve for x
    x = 10,834,691,252.21/119,446.20
  6. Step 6: Final answer
    x = 90,707.71

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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.