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Finding the Fourth Proportional to 268,657.64, 402,971.89 and 81,654.56

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Solution

The fourth proportional to 268,657.64, 402,971.89 and 81,654.56 is: 122,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,657.64 : 402,971.89 = 81,654.56 : x
  2. Step 2: Convert to fraction form
    268,657.64/402,971.89 = 81,654.56/x
  3. Step 3: Cross multiply
    268,657.64x = 402,971.89 × 81,654.56
  4. Step 4: Simplify right side
    268,657.64x = 32,904,491,962.05
  5. Step 5: Solve for x
    x = 32,904,491,962.05/268,657.64
  6. Step 6: Final answer
    x = 122,477.41

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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.