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Finding the Fourth Proportional to 225,863.61, 338,343.65 and 135,856.61

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Solution

The fourth proportional to 225,863.61, 338,343.65 and 135,856.61 is: 203,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,863.61 : 338,343.65 = 135,856.61 : x
  2. Step 2: Convert to fraction form
    225,863.61/338,343.65 = 135,856.61/x
  3. Step 3: Cross multiply
    225,863.61x = 338,343.65 × 135,856.61
  4. Step 4: Simplify right side
    225,863.61x = 45,966,220,711.28
  5. Step 5: Solve for x
    x = 45,966,220,711.28/225,863.61
  6. Step 6: Final answer
    x = 203,513.18

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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.