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Finding the Fourth Proportional to 268,836.30, 403,254.45 and 81,847.80

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Solution

The fourth proportional to 268,836.30, 403,254.45 and 81,847.80 is: 122,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,836.30 : 403,254.45 = 81,847.80 : x
  2. Step 2: Convert to fraction form
    268,836.30/403,254.45 = 81,847.80/x
  3. Step 3: Cross multiply
    268,836.30x = 403,254.45 × 81,847.80
  4. Step 4: Simplify right side
    268,836.30x = 33,005,489,572.71
  5. Step 5: Solve for x
    x = 33,005,489,572.71/268,836.30
  6. Step 6: Final answer
    x = 122,771.70

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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.