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Finding the Fourth Proportional to 99,561.90, 137,395.42 and 54,849.90

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Solution

The fourth proportional to 99,561.90, 137,395.42 and 54,849.90 is: 75,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,561.90 : 137,395.42 = 54,849.90 : x
  2. Step 2: Convert to fraction form
    99,561.90/137,395.42 = 54,849.90/x
  3. Step 3: Cross multiply
    99,561.90x = 137,395.42 × 54,849.90
  4. Step 4: Simplify right side
    99,561.90x = 7,536,125,047.46
  5. Step 5: Solve for x
    x = 7,536,125,047.46/99,561.90
  6. Step 6: Final answer
    x = 75,692.86

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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.