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Finding the Fourth Proportional to 268,305.26, 402,515.97 and 81,330.86

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Solution

The fourth proportional to 268,305.26, 402,515.97 and 81,330.86 is: 122,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,305.26 : 402,515.97 = 81,330.86 : x
  2. Step 2: Convert to fraction form
    268,305.26/402,515.97 = 81,330.86/x
  3. Step 3: Cross multiply
    268,305.26x = 402,515.97 × 81,330.86
  4. Step 4: Simplify right side
    268,305.26x = 32,736,970,003.83
  5. Step 5: Solve for x
    x = 32,736,970,003.83/268,305.26
  6. Step 6: Final answer
    x = 122,013.90

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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.