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Finding the Fourth Proportional to 225,978.18, 338,834.37 and 85,746.66

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Solution

The fourth proportional to 225,978.18, 338,834.37 and 85,746.66 is: 128,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,978.18 : 338,834.37 = 85,746.66 : x
  2. Step 2: Convert to fraction form
    225,978.18/338,834.37 = 85,746.66/x
  3. Step 3: Cross multiply
    225,978.18x = 338,834.37 × 85,746.66
  4. Step 4: Simplify right side
    225,978.18x = 29,053,915,520.70
  5. Step 5: Solve for x
    x = 29,053,915,520.70/225,978.18
  6. Step 6: Final answer
    x = 128,569.56

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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.