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Finding the Fourth Proportional to 71,440, 107,165.76 and 22,192

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Solution

The fourth proportional to 71,440, 107,165.76 and 22,192 is: 33,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 107,165.76 = 22,192 : x
  2. Step 2: Convert to fraction form
    71,440/107,165.76 = 22,192/x
  3. Step 3: Cross multiply
    71,440x = 107,165.76 × 22,192
  4. Step 4: Simplify right side
    71,440x = 2,378,222,545.92
  5. Step 5: Solve for x
    x = 2,378,222,545.92/71,440
  6. Step 6: Final answer
    x = 33,289.79

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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.