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Finding the Fourth Proportional to 99,790.75, 137,711.24 and 55,078.75

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Solution

The fourth proportional to 99,790.75, 137,711.24 and 55,078.75 is: 76,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,790.75 : 137,711.24 = 55,078.75 : x
  2. Step 2: Convert to fraction form
    99,790.75/137,711.24 = 55,078.75/x
  3. Step 3: Cross multiply
    99,790.75x = 137,711.24 × 55,078.75
  4. Step 4: Simplify right side
    99,790.75x = 7,584,962,960.15
  5. Step 5: Solve for x
    x = 7,584,962,960.15/99,790.75
  6. Step 6: Final answer
    x = 76,008.68

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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.