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Finding the Fourth Proportional to 225,399.13, 338,020.86 and 65,431.70

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Solution

The fourth proportional to 225,399.13, 338,020.86 and 65,431.70 is: 98,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,399.13 : 338,020.86 = 65,431.70 : x
  2. Step 2: Convert to fraction form
    225,399.13/338,020.86 = 65,431.70/x
  3. Step 3: Cross multiply
    225,399.13x = 338,020.86 × 65,431.70
  4. Step 4: Simplify right side
    225,399.13x = 22,117,279,052.06
  5. Step 5: Solve for x
    x = 22,117,279,052.06/225,399.13
  6. Step 6: Final answer
    x = 98,124.95

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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.