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Finding the Fourth Proportional to 99,882.30, 137,832.30 and 54,559.63

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Solution

The fourth proportional to 99,882.30, 137,832.30 and 54,559.63 is: 75,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,882.30 : 137,832.30 = 54,559.63 : x
  2. Step 2: Convert to fraction form
    99,882.30/137,832.30 = 54,559.63/x
  3. Step 3: Cross multiply
    99,882.30x = 137,832.30 × 54,559.63
  4. Step 4: Simplify right side
    99,882.30x = 7,520,078,687.03
  5. Step 5: Solve for x
    x = 7,520,078,687.03/99,882.30
  6. Step 6: Final answer
    x = 75,289.40

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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.