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Finding the Fourth Proportional to 71,563.61, 107,345.42 and 27,179.93

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Solution

The fourth proportional to 71,563.61, 107,345.42 and 27,179.93 is: 40,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563.61 : 107,345.42 = 27,179.93 : x
  2. Step 2: Convert to fraction form
    71,563.61/107,345.42 = 27,179.93/x
  3. Step 3: Cross multiply
    71,563.61x = 107,345.42 × 27,179.93
  4. Step 4: Simplify right side
    71,563.61x = 2,917,641,001.42
  5. Step 5: Solve for x
    x = 2,917,641,001.42/71,563.61
  6. Step 6: Final answer
    x = 40,769.90

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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.