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Finding the Fourth Proportional to 82,135.91, 123,203.88 and 28,869.71

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Solution

The fourth proportional to 82,135.91, 123,203.88 and 28,869.71 is: 43,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.91 : 123,203.88 = 28,869.71 : x
  2. Step 2: Convert to fraction form
    82,135.91/123,203.88 = 28,869.71/x
  3. Step 3: Cross multiply
    82,135.91x = 123,203.88 × 28,869.71
  4. Step 4: Simplify right side
    82,135.91x = 3,556,859,670.46
  5. Step 5: Solve for x
    x = 3,556,859,670.46/82,135.91
  6. Step 6: Final answer
    x = 43,304.56

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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.