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Finding the Fourth Proportional to 128,780.85, 177,722.19 and 75,057.20

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Solution

The fourth proportional to 128,780.85, 177,722.19 and 75,057.20 is: 103,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780.85 : 177,722.19 = 75,057.20 : x
  2. Step 2: Convert to fraction form
    128,780.85/177,722.19 = 75,057.20/x
  3. Step 3: Cross multiply
    128,780.85x = 177,722.19 × 75,057.20
  4. Step 4: Simplify right side
    128,780.85x = 13,339,329,070.66
  5. Step 5: Solve for x
    x = 13,339,329,070.66/128,780.85
  6. Step 6: Final answer
    x = 103,581.62

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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.