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Finding the Fourth Proportional to 83,680.74, 115,481.43 and 45,955.80

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Solution

The fourth proportional to 83,680.74, 115,481.43 and 45,955.80 is: 63,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,680.74 : 115,481.43 = 45,955.80 : x
  2. Step 2: Convert to fraction form
    83,680.74/115,481.43 = 45,955.80/x
  3. Step 3: Cross multiply
    83,680.74x = 115,481.43 × 45,955.80
  4. Step 4: Simplify right side
    83,680.74x = 5,307,041,500.79
  5. Step 5: Solve for x
    x = 5,307,041,500.79/83,680.74
  6. Step 6: Final answer
    x = 63,420.11

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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.