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Finding the Fourth Proportional to 99,757.44, 137,659.82 and 56,731.11

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Solution

The fourth proportional to 99,757.44, 137,659.82 and 56,731.11 is: 78,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757.44 : 137,659.82 = 56,731.11 : x
  2. Step 2: Convert to fraction form
    99,757.44/137,659.82 = 56,731.11/x
  3. Step 3: Cross multiply
    99,757.44x = 137,659.82 × 56,731.11
  4. Step 4: Simplify right side
    99,757.44x = 7,809,594,107.34
  5. Step 5: Solve for x
    x = 7,809,594,107.34/99,757.44
  6. Step 6: Final answer
    x = 78,285.83

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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.