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Finding the Fourth Proportional to 177,378.30, 266,067.45 and 137,720.70

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Solution

The fourth proportional to 177,378.30, 266,067.45 and 137,720.70 is: 206,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,378.30 : 266,067.45 = 137,720.70 : x
  2. Step 2: Convert to fraction form
    177,378.30/266,067.45 = 137,720.70/x
  3. Step 3: Cross multiply
    177,378.30x = 266,067.45 × 137,720.70
  4. Step 4: Simplify right side
    177,378.30x = 36,642,995,461.22
  5. Step 5: Solve for x
    x = 36,642,995,461.22/177,378.30
  6. Step 6: Final answer
    x = 206,581.05

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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.