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Finding the Fourth Proportional to 39,940, 55,117.20 and 22,276

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Solution

The fourth proportional to 39,940, 55,117.20 and 22,276 is: 30,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,940 : 55,117.20 = 22,276 : x
  2. Step 2: Convert to fraction form
    39,940/55,117.20 = 22,276/x
  3. Step 3: Cross multiply
    39,940x = 55,117.20 × 22,276
  4. Step 4: Simplify right side
    39,940x = 1,227,790,747.20
  5. Step 5: Solve for x
    x = 1,227,790,747.20/39,940
  6. Step 6: Final answer
    x = 30,740.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.