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Finding the Fourth Proportional to 177,377.80, 266,066.70 and 137,720.20

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Solution

The fourth proportional to 177,377.80, 266,066.70 and 137,720.20 is: 206,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,377.80 : 266,066.70 = 137,720.20 : x
  2. Step 2: Convert to fraction form
    177,377.80/266,066.70 = 137,720.20/x
  3. Step 3: Cross multiply
    177,377.80x = 266,066.70 × 137,720.20
  4. Step 4: Simplify right side
    177,377.80x = 36,642,759,137.34
  5. Step 5: Solve for x
    x = 36,642,759,137.34/177,377.80
  6. Step 6: Final answer
    x = 206,580.30

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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.