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Finding the Fourth Proportional to 66,915.90, 100,288.80 and 27,428.40

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Solution

The fourth proportional to 66,915.90, 100,288.80 and 27,428.40 is: 41,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,915.90 : 100,288.80 = 27,428.40 : x
  2. Step 2: Convert to fraction form
    66,915.90/100,288.80 = 27,428.40/x
  3. Step 3: Cross multiply
    66,915.90x = 100,288.80 × 27,428.40
  4. Step 4: Simplify right side
    66,915.90x = 2,750,761,321.92
  5. Step 5: Solve for x
    x = 2,750,761,321.92/66,915.90
  6. Step 6: Final answer
    x = 41,107.74

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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.