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Finding the Fourth Proportional to 159,785.68, 220,584.09 and 99,375.80

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Solution

The fourth proportional to 159,785.68, 220,584.09 and 99,375.80 is: 137,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,785.68 : 220,584.09 = 99,375.80 : x
  2. Step 2: Convert to fraction form
    159,785.68/220,584.09 = 99,375.80/x
  3. Step 3: Cross multiply
    159,785.68x = 220,584.09 × 99,375.80
  4. Step 4: Simplify right side
    159,785.68x = 21,920,719,772.87
  5. Step 5: Solve for x
    x = 21,920,719,772.87/159,785.68
  6. Step 6: Final answer
    x = 137,188.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.