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Finding the Fourth Proportional to 239,796.80, 359,695.20 and 82,001.60

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Solution

The fourth proportional to 239,796.80, 359,695.20 and 82,001.60 is: 123,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,796.80 : 359,695.20 = 82,001.60 : x
  2. Step 2: Convert to fraction form
    239,796.80/359,695.20 = 82,001.60/x
  3. Step 3: Cross multiply
    239,796.80x = 359,695.20 × 82,001.60
  4. Step 4: Simplify right side
    239,796.80x = 29,495,581,912.32
  5. Step 5: Solve for x
    x = 29,495,581,912.32/239,796.80
  6. Step 6: Final answer
    x = 123,002.40

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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.