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Finding the Fourth Proportional to 83,906.69, 125,881.97 and 31,316.63

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Solution

The fourth proportional to 83,906.69, 125,881.97 and 31,316.63 is: 46,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.69 : 125,881.97 = 31,316.63 : x
  2. Step 2: Convert to fraction form
    83,906.69/125,881.97 = 31,316.63/x
  3. Step 3: Cross multiply
    83,906.69x = 125,881.97 × 31,316.63
  4. Step 4: Simplify right side
    83,906.69x = 3,942,198,292.17
  5. Step 5: Solve for x
    x = 3,942,198,292.17/83,906.69
  6. Step 6: Final answer
    x = 46,983.13

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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.