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Finding the Fourth Proportional to 206,876.91, 310,130.69 and 88,487.31

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Solution

The fourth proportional to 206,876.91, 310,130.69 and 88,487.31 is: 132,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.91 : 310,130.69 = 88,487.31 : x
  2. Step 2: Convert to fraction form
    206,876.91/310,130.69 = 88,487.31/x
  3. Step 3: Cross multiply
    206,876.91x = 310,130.69 × 88,487.31
  4. Step 4: Simplify right side
    206,876.91x = 27,442,630,064.11
  5. Step 5: Solve for x
    x = 27,442,630,064.11/206,876.91
  6. Step 6: Final answer
    x = 132,651.97

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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.