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Finding the Fourth Proportional to 159,034.38, 219,463.11 and 87,414.42

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Solution

The fourth proportional to 159,034.38, 219,463.11 and 87,414.42 is: 120,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,034.38 : 219,463.11 = 87,414.42 : x
  2. Step 2: Convert to fraction form
    159,034.38/219,463.11 = 87,414.42/x
  3. Step 3: Cross multiply
    159,034.38x = 219,463.11 × 87,414.42
  4. Step 4: Simplify right side
    159,034.38x = 19,184,240,472.05
  5. Step 5: Solve for x
    x = 19,184,240,472.05/159,034.38
  6. Step 6: Final answer
    x = 120,629.52

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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.