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Finding the Fourth Proportional to 77,367.33, 106,761.33 and 45,531.90

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Solution

The fourth proportional to 77,367.33, 106,761.33 and 45,531.90 is: 62,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,367.33 : 106,761.33 = 45,531.90 : x
  2. Step 2: Convert to fraction form
    77,367.33/106,761.33 = 45,531.90/x
  3. Step 3: Cross multiply
    77,367.33x = 106,761.33 × 45,531.90
  4. Step 4: Simplify right side
    77,367.33x = 4,861,046,201.43
  5. Step 5: Solve for x
    x = 4,861,046,201.43/77,367.33
  6. Step 6: Final answer
    x = 62,830.73

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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.