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Finding the Fourth Proportional to 99,889.97, 137,842.07 and 54,558.77

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Solution

The fourth proportional to 99,889.97, 137,842.07 and 54,558.77 is: 75,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.97 : 137,842.07 = 54,558.77 : x
  2. Step 2: Convert to fraction form
    99,889.97/137,842.07 = 54,558.77/x
  3. Step 3: Cross multiply
    99,889.97x = 137,842.07 × 54,558.77
  4. Step 4: Simplify right side
    99,889.97x = 7,520,493,520.66
  5. Step 5: Solve for x
    x = 7,520,493,520.66/99,889.97
  6. Step 6: Final answer
    x = 75,287.77

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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.