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Finding the Fourth Proportional to 83,131.20, 114,721.74 and 47,323.53

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Solution

The fourth proportional to 83,131.20, 114,721.74 and 47,323.53 is: 65,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,131.20 : 114,721.74 = 47,323.53 : x
  2. Step 2: Convert to fraction form
    83,131.20/114,721.74 = 47,323.53/x
  3. Step 3: Cross multiply
    83,131.20x = 114,721.74 × 47,323.53
  4. Step 4: Simplify right side
    83,131.20x = 5,429,037,704.54
  5. Step 5: Solve for x
    x = 5,429,037,704.54/83,131.20
  6. Step 6: Final answer
    x = 65,306.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.