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Finding the Fourth Proportional to 81,678.92, 122,460.78 and 31,717.40

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Solution

The fourth proportional to 81,678.92, 122,460.78 and 31,717.40 is: 47,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.92 : 122,460.78 = 31,717.40 : x
  2. Step 2: Convert to fraction form
    81,678.92/122,460.78 = 31,717.40/x
  3. Step 3: Cross multiply
    81,678.92x = 122,460.78 × 31,717.40
  4. Step 4: Simplify right side
    81,678.92x = 3,884,137,543.57
  5. Step 5: Solve for x
    x = 3,884,137,543.57/81,678.92
  6. Step 6: Final answer
    x = 47,553.73

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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.