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Finding the Fourth Proportional to 83,892.12, 125,859.96 and 31,302

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Solution

The fourth proportional to 83,892.12, 125,859.96 and 31,302 is: 46,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892.12 : 125,859.96 = 31,302 : x
  2. Step 2: Convert to fraction form
    83,892.12/125,859.96 = 31,302/x
  3. Step 3: Cross multiply
    83,892.12x = 125,859.96 × 31,302
  4. Step 4: Simplify right side
    83,892.12x = 3,939,668,467.92
  5. Step 5: Solve for x
    x = 3,939,668,467.92/83,892.12
  6. Step 6: Final answer
    x = 46,961.13

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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.