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Finding the Fourth Proportional to 83,872.60, 125,804.84 and 31,278

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Solution

The fourth proportional to 83,872.60, 125,804.84 and 31,278 is: 46,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,872.60 : 125,804.84 = 31,278 : x
  2. Step 2: Convert to fraction form
    83,872.60/125,804.84 = 31,278/x
  3. Step 3: Cross multiply
    83,872.60x = 125,804.84 × 31,278
  4. Step 4: Simplify right side
    83,872.60x = 3,934,923,785.52
  5. Step 5: Solve for x
    x = 3,934,923,785.52/83,872.60
  6. Step 6: Final answer
    x = 46,915.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.