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Finding the Fourth Proportional to 78,470.89, 117,689.73 and 25,867.87

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Solution

The fourth proportional to 78,470.89, 117,689.73 and 25,867.87 is: 38,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.89 : 117,689.73 = 25,867.87 : x
  2. Step 2: Convert to fraction form
    78,470.89/117,689.73 = 25,867.87/x
  3. Step 3: Cross multiply
    78,470.89x = 117,689.73 × 25,867.87
  4. Step 4: Simplify right side
    78,470.89x = 3,044,382,635.98
  5. Step 5: Solve for x
    x = 3,044,382,635.98/78,470.89
  6. Step 6: Final answer
    x = 38,796.33

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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.