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Finding the Fourth Proportional to 206,155.76, 309,228.78 and 65,915.60

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Solution

The fourth proportional to 206,155.76, 309,228.78 and 65,915.60 is: 98,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,155.76 : 309,228.78 = 65,915.60 : x
  2. Step 2: Convert to fraction form
    206,155.76/309,228.78 = 65,915.60/x
  3. Step 3: Cross multiply
    206,155.76x = 309,228.78 × 65,915.60
  4. Step 4: Simplify right side
    206,155.76x = 20,383,000,570.97
  5. Step 5: Solve for x
    x = 20,383,000,570.97/206,155.76
  6. Step 6: Final answer
    x = 98,871.85

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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.