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Finding the Fourth Proportional to 78,821.70, 118,232.55 and 75,711.30

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Solution

The fourth proportional to 78,821.70, 118,232.55 and 75,711.30 is: 113,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.70 : 118,232.55 = 75,711.30 : x
  2. Step 2: Convert to fraction form
    78,821.70/118,232.55 = 75,711.30/x
  3. Step 3: Cross multiply
    78,821.70x = 118,232.55 × 75,711.30
  4. Step 4: Simplify right side
    78,821.70x = 8,951,540,062.82
  5. Step 5: Solve for x
    x = 8,951,540,062.82/78,821.70
  6. Step 6: Final answer
    x = 113,566.95

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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.