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Finding the Fourth Proportional to 268,663.59, 402,663.21 and 135,581.91

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Solution

The fourth proportional to 268,663.59, 402,663.21 and 135,581.91 is: 203,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,663.59 : 402,663.21 = 135,581.91 : x
  2. Step 2: Convert to fraction form
    268,663.59/402,663.21 = 135,581.91/x
  3. Step 3: Cross multiply
    268,663.59x = 402,663.21 × 135,581.91
  4. Step 4: Simplify right side
    268,663.59x = 54,593,847,098.53
  5. Step 5: Solve for x
    x = 54,593,847,098.53/268,663.59
  6. Step 6: Final answer
    x = 203,205.23

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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.