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Finding the Fourth Proportional to 165,294, 247,979.88 and 54,486

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Solution

The fourth proportional to 165,294, 247,979.88 and 54,486 is: 81,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,294 : 247,979.88 = 54,486 : x
  2. Step 2: Convert to fraction form
    165,294/247,979.88 = 54,486/x
  3. Step 3: Cross multiply
    165,294x = 247,979.88 × 54,486
  4. Step 4: Simplify right side
    165,294x = 13,511,431,741.68
  5. Step 5: Solve for x
    x = 13,511,431,741.68/165,294
  6. Step 6: Final answer
    x = 81,741.82

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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.