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Finding the Fourth Proportional to 99,708.48, 137,609.52 and 56,694.48

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Solution

The fourth proportional to 99,708.48, 137,609.52 and 56,694.48 is: 78,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708.48 : 137,609.52 = 56,694.48 : x
  2. Step 2: Convert to fraction form
    99,708.48/137,609.52 = 56,694.48/x
  3. Step 3: Cross multiply
    99,708.48x = 137,609.52 × 56,694.48
  4. Step 4: Simplify right side
    99,708.48x = 7,801,700,179.45
  5. Step 5: Solve for x
    x = 7,801,700,179.45/99,708.48
  6. Step 6: Final answer
    x = 78,245.10

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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.