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Finding the Fourth Proportional to 71,115.58, 106,678.89 and 21,191.86

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Solution

The fourth proportional to 71,115.58, 106,678.89 and 21,191.86 is: 31,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115.58 : 106,678.89 = 21,191.86 : x
  2. Step 2: Convert to fraction form
    71,115.58/106,678.89 = 21,191.86/x
  3. Step 3: Cross multiply
    71,115.58x = 106,678.89 × 21,191.86
  4. Step 4: Simplify right side
    71,115.58x = 2,260,724,101.84
  5. Step 5: Solve for x
    x = 2,260,724,101.84/71,115.58
  6. Step 6: Final answer
    x = 31,789.43

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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.