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Finding the Fourth Proportional to 83,998.62, 125,983.35 and 31,397.22

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Solution

The fourth proportional to 83,998.62, 125,983.35 and 31,397.22 is: 47,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,998.62 : 125,983.35 = 31,397.22 : x
  2. Step 2: Convert to fraction form
    83,998.62/125,983.35 = 31,397.22/x
  3. Step 3: Cross multiply
    83,998.62x = 125,983.35 × 31,397.22
  4. Step 4: Simplify right side
    83,998.62x = 3,955,526,956.29
  5. Step 5: Solve for x
    x = 3,955,526,956.29/83,998.62
  6. Step 6: Final answer
    x = 47,090.38

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1.5x scale

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.