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Finding the Fourth Proportional to 83,920.40, 125,882.28 and 31,319.40

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Solution

The fourth proportional to 83,920.40, 125,882.28 and 31,319.40 is: 46,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.40 : 125,882.28 = 31,319.40 : x
  2. Step 2: Convert to fraction form
    83,920.40/125,882.28 = 31,319.40/x
  3. Step 3: Cross multiply
    83,920.40x = 125,882.28 × 31,319.40
  4. Step 4: Simplify right side
    83,920.40x = 3,942,557,480.23
  5. Step 5: Solve for x
    x = 3,942,557,480.23/83,920.40
  6. Step 6: Final answer
    x = 46,979.73

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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.