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Finding the Fourth Proportional to 172,302.91, 258,454.46 and 65,662

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Solution

The fourth proportional to 172,302.91, 258,454.46 and 65,662 is: 98,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,302.91 : 258,454.46 = 65,662 : x
  2. Step 2: Convert to fraction form
    172,302.91/258,454.46 = 65,662/x
  3. Step 3: Cross multiply
    172,302.91x = 258,454.46 × 65,662
  4. Step 4: Simplify right side
    172,302.91x = 16,970,636,752.52
  5. Step 5: Solve for x
    x = 16,970,636,752.52/172,302.91
  6. Step 6: Final answer
    x = 98,493.04

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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.