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Finding the Fourth Proportional to 172,419.59, 258,461.65 and 82,438.92

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Solution

The fourth proportional to 172,419.59, 258,461.65 and 82,438.92 is: 123,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419.59 : 258,461.65 = 82,438.92 : x
  2. Step 2: Convert to fraction form
    172,419.59/258,461.65 = 82,438.92/x
  3. Step 3: Cross multiply
    172,419.59x = 258,461.65 × 82,438.92
  4. Step 4: Simplify right side
    172,419.59x = 21,307,299,287.42
  5. Step 5: Solve for x
    x = 21,307,299,287.42/172,419.59
  6. Step 6: Final answer
    x = 123,578.18

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1.5x scale

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.