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Finding the Fourth Proportional to 206,760.30, 310,140.45 and 82,101.30

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Solution

The fourth proportional to 206,760.30, 310,140.45 and 82,101.30 is: 123,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,760.30 : 310,140.45 = 82,101.30 : x
  2. Step 2: Convert to fraction form
    206,760.30/310,140.45 = 82,101.30/x
  3. Step 3: Cross multiply
    206,760.30x = 310,140.45 × 82,101.30
  4. Step 4: Simplify right side
    206,760.30x = 25,462,934,127.59
  5. Step 5: Solve for x
    x = 25,462,934,127.59/206,760.30
  6. Step 6: Final answer
    x = 123,151.95

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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.