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Finding the Fourth Proportional to 511,172.05, 766,757.95 and 137,195.05

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Solution

The fourth proportional to 511,172.05, 766,757.95 and 137,195.05 is: 205,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,172.05 : 766,757.95 = 137,195.05 : x
  2. Step 2: Convert to fraction form
    511,172.05/766,757.95 = 137,195.05/x
  3. Step 3: Cross multiply
    511,172.05x = 766,757.95 × 137,195.05
  4. Step 4: Simplify right side
    511,172.05x = 105,195,395,288.15
  5. Step 5: Solve for x
    x = 105,195,395,288.15/511,172.05
  6. Step 6: Final answer
    x = 205,792.54

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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.