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Finding the Fourth Proportional to 511,169.42, 766,754.03 and 137,192.42

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Solution

The fourth proportional to 511,169.42, 766,754.03 and 137,192.42 is: 205,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169.42 : 766,754.03 = 137,192.42 : x
  2. Step 2: Convert to fraction form
    511,169.42/766,754.03 = 137,192.42/x
  3. Step 3: Cross multiply
    511,169.42x = 766,754.03 × 137,192.42
  4. Step 4: Simplify right side
    511,169.42x = 105,192,840,920.45
  5. Step 5: Solve for x
    x = 105,192,840,920.45/511,169.42
  6. Step 6: Final answer
    x = 205,788.60

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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.