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Finding the Fourth Proportional to 172,154.82, 258,217.65 and 59,806.20

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Solution

The fourth proportional to 172,154.82, 258,217.65 and 59,806.20 is: 89,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,154.82 : 258,217.65 = 59,806.20 : x
  2. Step 2: Convert to fraction form
    172,154.82/258,217.65 = 59,806.20/x
  3. Step 3: Cross multiply
    172,154.82x = 258,217.65 × 59,806.20
  4. Step 4: Simplify right side
    172,154.82x = 15,443,016,419.43
  5. Step 5: Solve for x
    x = 15,443,016,419.43/172,154.82
  6. Step 6: Final answer
    x = 89,704.23

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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.