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Finding the Fourth Proportional to 83,980.13, 125,983.15 and 31,397.09

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Solution

The fourth proportional to 83,980.13, 125,983.15 and 31,397.09 is: 47,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.13 : 125,983.15 = 31,397.09 : x
  2. Step 2: Convert to fraction form
    83,980.13/125,983.15 = 31,397.09/x
  3. Step 3: Cross multiply
    83,980.13x = 125,983.15 × 31,397.09
  4. Step 4: Simplify right side
    83,980.13x = 3,955,503,590.63
  5. Step 5: Solve for x
    x = 3,955,503,590.63/83,980.13
  6. Step 6: Final answer
    x = 47,100.47

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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.