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Finding the Fourth Proportional to 217,687.50, 326,531.25 and 77,446.53

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Solution

The fourth proportional to 217,687.50, 326,531.25 and 77,446.53 is: 116,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,687.50 : 326,531.25 = 77,446.53 : x
  2. Step 2: Convert to fraction form
    217,687.50/326,531.25 = 77,446.53/x
  3. Step 3: Cross multiply
    217,687.50x = 326,531.25 × 77,446.53
  4. Step 4: Simplify right side
    217,687.50x = 25,288,712,249.06
  5. Step 5: Solve for x
    x = 25,288,712,249.06/217,687.50
  6. Step 6: Final answer
    x = 116,169.80

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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.