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Finding the Fourth Proportional to 268,489, 402,772.38 and 81,500.68

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Solution

The fourth proportional to 268,489, 402,772.38 and 81,500.68 is: 122,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,489 : 402,772.38 = 81,500.68 : x
  2. Step 2: Convert to fraction form
    268,489/402,772.38 = 81,500.68/x
  3. Step 3: Cross multiply
    268,489x = 402,772.38 × 81,500.68
  4. Step 4: Simplify right side
    268,489x = 32,826,222,855.22
  5. Step 5: Solve for x
    x = 32,826,222,855.22/268,489
  6. Step 6: Final answer
    x = 122,262.82

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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.