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Finding the Fourth Proportional to 115,732.38, 159,675.24 and 75,431.52

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Solution

The fourth proportional to 115,732.38, 159,675.24 and 75,431.52 is: 104,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732.38 : 159,675.24 = 75,431.52 : x
  2. Step 2: Convert to fraction form
    115,732.38/159,675.24 = 75,431.52/x
  3. Step 3: Cross multiply
    115,732.38x = 159,675.24 × 75,431.52
  4. Step 4: Simplify right side
    115,732.38x = 12,044,546,059.56
  5. Step 5: Solve for x
    x = 12,044,546,059.56/115,732.38
  6. Step 6: Final answer
    x = 104,072.40

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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.