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Finding the Fourth Proportional to 141,791.71, 213,078.12 and 75,281.62

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Solution

The fourth proportional to 141,791.71, 213,078.12 and 75,281.62 is: 113,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,791.71 : 213,078.12 = 75,281.62 : x
  2. Step 2: Convert to fraction form
    141,791.71/213,078.12 = 75,281.62/x
  3. Step 3: Cross multiply
    141,791.71x = 213,078.12 × 75,281.62
  4. Step 4: Simplify right side
    141,791.71x = 16,040,866,060.15
  5. Step 5: Solve for x
    x = 16,040,866,060.15/141,791.71
  6. Step 6: Final answer
    x = 113,129.79

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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.