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Finding the Fourth Proportional to 159,685.78, 239,491.76 and 47,338.91

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Solution

The fourth proportional to 159,685.78, 239,491.76 and 47,338.91 is: 70,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,685.78 : 239,491.76 = 47,338.91 : x
  2. Step 2: Convert to fraction form
    159,685.78/239,491.76 = 47,338.91/x
  3. Step 3: Cross multiply
    159,685.78x = 239,491.76 × 47,338.91
  4. Step 4: Simplify right side
    159,685.78x = 11,337,278,062.17
  5. Step 5: Solve for x
    x = 11,337,278,062.17/159,685.78
  6. Step 6: Final answer
    x = 70,997.42

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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.