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Finding the Fourth Proportional to 83,478.60, 115,207.79 and 47,680.11

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Solution

The fourth proportional to 83,478.60, 115,207.79 and 47,680.11 is: 65,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.60 : 115,207.79 = 47,680.11 : x
  2. Step 2: Convert to fraction form
    83,478.60/115,207.79 = 47,680.11/x
  3. Step 3: Cross multiply
    83,478.60x = 115,207.79 × 47,680.11
  4. Step 4: Simplify right side
    83,478.60x = 5,493,119,861.66
  5. Step 5: Solve for x
    x = 5,493,119,861.66/83,478.60
  6. Step 6: Final answer
    x = 65,802.73

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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.