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Finding the Fourth Proportional to 118,757.43, 177,888.27 and 71,221.77

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Solution

The fourth proportional to 118,757.43, 177,888.27 and 71,221.77 is: 106,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,757.43 : 177,888.27 = 71,221.77 : x
  2. Step 2: Convert to fraction form
    118,757.43/177,888.27 = 71,221.77/x
  3. Step 3: Cross multiply
    118,757.43x = 177,888.27 × 71,221.77
  4. Step 4: Simplify right side
    118,757.43x = 12,669,517,451.64
  5. Step 5: Solve for x
    x = 12,669,517,451.64/118,757.43
  6. Step 6: Final answer
    x = 106,684.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.