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Finding the Fourth Proportional to 83,149.26, 114,745.78 and 45,423.78

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Solution

The fourth proportional to 83,149.26, 114,745.78 and 45,423.78 is: 62,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.26 : 114,745.78 = 45,423.78 : x
  2. Step 2: Convert to fraction form
    83,149.26/114,745.78 = 45,423.78/x
  3. Step 3: Cross multiply
    83,149.26x = 114,745.78 × 45,423.78
  4. Step 4: Simplify right side
    83,149.26x = 5,212,186,265.80
  5. Step 5: Solve for x
    x = 5,212,186,265.80/83,149.26
  6. Step 6: Final answer
    x = 62,684.70

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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.