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Finding the Fourth Proportional to 177,515.80, 266,273.70 and 137,858.20

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Solution

The fourth proportional to 177,515.80, 266,273.70 and 137,858.20 is: 206,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,515.80 : 266,273.70 = 137,858.20 : x
  2. Step 2: Convert to fraction form
    177,515.80/266,273.70 = 137,858.20/x
  3. Step 3: Cross multiply
    177,515.80x = 266,273.70 × 137,858.20
  4. Step 4: Simplify right side
    177,515.80x = 36,708,012,989.34
  5. Step 5: Solve for x
    x = 36,708,012,989.34/177,515.80
  6. Step 6: Final answer
    x = 206,787.30

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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.