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Finding the Fourth Proportional to 231,805.20, 347,707.80 and 82,044.30

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Solution

The fourth proportional to 231,805.20, 347,707.80 and 82,044.30 is: 123,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,805.20 : 347,707.80 = 82,044.30 : x
  2. Step 2: Convert to fraction form
    231,805.20/347,707.80 = 82,044.30/x
  3. Step 3: Cross multiply
    231,805.20x = 347,707.80 × 82,044.30
  4. Step 4: Simplify right side
    231,805.20x = 28,527,443,055.54
  5. Step 5: Solve for x
    x = 28,527,443,055.54/231,805.20
  6. Step 6: Final answer
    x = 123,066.45

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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.