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Finding the Fourth Proportional to 177,287.80, 265,931.70 and 137,198.20

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Solution

The fourth proportional to 177,287.80, 265,931.70 and 137,198.20 is: 205,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,287.80 : 265,931.70 = 137,198.20 : x
  2. Step 2: Convert to fraction form
    177,287.80/265,931.70 = 137,198.20/x
  3. Step 3: Cross multiply
    177,287.80x = 265,931.70 × 137,198.20
  4. Step 4: Simplify right side
    177,287.80x = 36,485,350,562.94
  5. Step 5: Solve for x
    x = 36,485,350,562.94/177,287.80
  6. Step 6: Final answer
    x = 205,797.30

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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.