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Finding the Fourth Proportional to 172,301.91, 258,452.96 and 65,661

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Solution

The fourth proportional to 172,301.91, 258,452.96 and 65,661 is: 98,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,301.91 : 258,452.96 = 65,661 : x
  2. Step 2: Convert to fraction form
    172,301.91/258,452.96 = 65,661/x
  3. Step 3: Cross multiply
    172,301.91x = 258,452.96 × 65,661
  4. Step 4: Simplify right side
    172,301.91x = 16,970,279,478.26
  5. Step 5: Solve for x
    x = 16,970,279,478.26/172,301.91
  6. Step 6: Final answer
    x = 98,491.53

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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.