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Finding the Fourth Proportional to 186,122.25, 278,961.03 and 67,729.14

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Solution

The fourth proportional to 186,122.25, 278,961.03 and 67,729.14 is: 101,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,122.25 : 278,961.03 = 67,729.14 : x
  2. Step 2: Convert to fraction form
    186,122.25/278,961.03 = 67,729.14/x
  3. Step 3: Cross multiply
    186,122.25x = 278,961.03 × 67,729.14
  4. Step 4: Simplify right side
    186,122.25x = 18,893,790,655.41
  5. Step 5: Solve for x
    x = 18,893,790,655.41/186,122.25
  6. Step 6: Final answer
    x = 101,512.80

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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.