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Finding the Fourth Proportional to 268,722.90, 402,752.16 and 135,641.16

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Solution

The fourth proportional to 268,722.90, 402,752.16 and 135,641.16 is: 203,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,722.90 : 402,752.16 = 135,641.16 : x
  2. Step 2: Convert to fraction form
    268,722.90/402,752.16 = 135,641.16/x
  3. Step 3: Cross multiply
    268,722.90x = 402,752.16 × 135,641.16
  4. Step 4: Simplify right side
    268,722.90x = 54,629,770,174.91
  5. Step 5: Solve for x
    x = 54,629,770,174.91/268,722.90
  6. Step 6: Final answer
    x = 203,294.06

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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.