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Finding the Fourth Proportional to 206,042.40, 308,833.20 and 87,693.60

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Solution

The fourth proportional to 206,042.40, 308,833.20 and 87,693.60 is: 131,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,042.40 : 308,833.20 = 87,693.60 : x
  2. Step 2: Convert to fraction form
    206,042.40/308,833.20 = 87,693.60/x
  3. Step 3: Cross multiply
    206,042.40x = 308,833.20 × 87,693.60
  4. Step 4: Simplify right side
    206,042.40x = 27,082,695,107.52
  5. Step 5: Solve for x
    x = 27,082,695,107.52/206,042.40
  6. Step 6: Final answer
    x = 131,442.34

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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.