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Finding the Fourth Proportional to 268,165.60, 402,248.40 and 81,177.10

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Solution

The fourth proportional to 268,165.60, 402,248.40 and 81,177.10 is: 121,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,165.60 : 402,248.40 = 81,177.10 : x
  2. Step 2: Convert to fraction form
    268,165.60/402,248.40 = 81,177.10/x
  3. Step 3: Cross multiply
    268,165.60x = 402,248.40 × 81,177.10
  4. Step 4: Simplify right side
    268,165.60x = 32,653,358,591.64
  5. Step 5: Solve for x
    x = 32,653,358,591.64/268,165.60
  6. Step 6: Final answer
    x = 121,765.65

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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.