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Finding the Fourth Proportional to 206,422.72, 309,663.30 and 66,148.60

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Solution

The fourth proportional to 206,422.72, 309,663.30 and 66,148.60 is: 99,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.72 : 309,663.30 = 66,148.60 : x
  2. Step 2: Convert to fraction form
    206,422.72/309,663.30 = 66,148.60/x
  3. Step 3: Cross multiply
    206,422.72x = 309,663.30 × 66,148.60
  4. Step 4: Simplify right side
    206,422.72x = 20,483,793,766.38
  5. Step 5: Solve for x
    x = 20,483,793,766.38/206,422.72
  6. Step 6: Final answer
    x = 99,232.26

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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.