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Finding the Fourth Proportional to 154,472.70, 231,709.05 and 65,729.10

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Solution

The fourth proportional to 154,472.70, 231,709.05 and 65,729.10 is: 98,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,472.70 : 231,709.05 = 65,729.10 : x
  2. Step 2: Convert to fraction form
    154,472.70/231,709.05 = 65,729.10/x
  3. Step 3: Cross multiply
    154,472.70x = 231,709.05 × 65,729.10
  4. Step 4: Simplify right side
    154,472.70x = 15,230,027,318.36
  5. Step 5: Solve for x
    x = 15,230,027,318.36/154,472.70
  6. Step 6: Final answer
    x = 98,593.65

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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.