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Finding the Fourth Proportional to 511,169.55, 766,754.22 and 137,192.55

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Solution

The fourth proportional to 511,169.55, 766,754.22 and 137,192.55 is: 205,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169.55 : 766,754.22 = 137,192.55 : x
  2. Step 2: Convert to fraction form
    511,169.55/766,754.22 = 137,192.55/x
  3. Step 3: Cross multiply
    511,169.55x = 766,754.22 × 137,192.55
  4. Step 4: Simplify right side
    511,169.55x = 105,192,966,665.06
  5. Step 5: Solve for x
    x = 105,192,966,665.06/511,169.55
  6. Step 6: Final answer
    x = 205,788.80

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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.