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Finding the Fourth Proportional to 83,357.76, 115,033.70 and 45,117.30

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Solution

The fourth proportional to 83,357.76, 115,033.70 and 45,117.30 is: 62,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.76 : 115,033.70 = 45,117.30 : x
  2. Step 2: Convert to fraction form
    83,357.76/115,033.70 = 45,117.30/x
  3. Step 3: Cross multiply
    83,357.76x = 115,033.70 × 45,117.30
  4. Step 4: Simplify right side
    83,357.76x = 5,190,010,375.86
  5. Step 5: Solve for x
    x = 5,190,010,375.86/83,357.76
  6. Step 6: Final answer
    x = 62,261.87

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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.