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Finding the Fourth Proportional to 511,172.55, 766,758.71 and 137,195.55

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Solution

The fourth proportional to 511,172.55, 766,758.71 and 137,195.55 is: 205,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,172.55 : 766,758.71 = 137,195.55 : x
  2. Step 2: Convert to fraction form
    511,172.55/766,758.71 = 137,195.55/x
  3. Step 3: Cross multiply
    511,172.55x = 766,758.71 × 137,195.55
  4. Step 4: Simplify right side
    511,172.55x = 105,195,882,249.76
  5. Step 5: Solve for x
    x = 105,195,882,249.76/511,172.55
  6. Step 6: Final answer
    x = 205,793.29

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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.