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Finding the Fourth Proportional to 67,164.48, 100,746.72 and 27,678.21

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Solution

The fourth proportional to 67,164.48, 100,746.72 and 27,678.21 is: 41,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.48 : 100,746.72 = 27,678.21 : x
  2. Step 2: Convert to fraction form
    67,164.48/100,746.72 = 27,678.21/x
  3. Step 3: Cross multiply
    67,164.48x = 100,746.72 × 27,678.21
  4. Step 4: Simplify right side
    67,164.48x = 2,788,488,872.97
  5. Step 5: Solve for x
    x = 2,788,488,872.97/67,164.48
  6. Step 6: Final answer
    x = 41,517.32

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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.