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Finding the Fourth Proportional to 99,883.80, 137,834.37 and 54,561.13

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Solution

The fourth proportional to 99,883.80, 137,834.37 and 54,561.13 is: 75,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,883.80 : 137,834.37 = 54,561.13 : x
  2. Step 2: Convert to fraction form
    99,883.80/137,834.37 = 54,561.13/x
  3. Step 3: Cross multiply
    99,883.80x = 137,834.37 × 54,561.13
  4. Step 4: Simplify right side
    99,883.80x = 7,520,398,290.87
  5. Step 5: Solve for x
    x = 7,520,398,290.87/99,883.80
  6. Step 6: Final answer
    x = 75,291.47

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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.