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Finding the Fourth Proportional to 92,077.92, 137,819.76 and 47,643.60

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Solution

The fourth proportional to 92,077.92, 137,819.76 and 47,643.60 is: 71,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,077.92 : 137,819.76 = 47,643.60 : x
  2. Step 2: Convert to fraction form
    92,077.92/137,819.76 = 47,643.60/x
  3. Step 3: Cross multiply
    92,077.92x = 137,819.76 × 47,643.60
  4. Step 4: Simplify right side
    92,077.92x = 6,566,229,517.54
  5. Step 5: Solve for x
    x = 6,566,229,517.54/92,077.92
  6. Step 6: Final answer
    x = 71,311.66

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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.