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Finding the Fourth Proportional to 71,955.68, 107,941.32 and 27,620

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Solution

The fourth proportional to 71,955.68, 107,941.32 and 27,620 is: 41,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,955.68 : 107,941.32 = 27,620 : x
  2. Step 2: Convert to fraction form
    71,955.68/107,941.32 = 27,620/x
  3. Step 3: Cross multiply
    71,955.68x = 107,941.32 × 27,620
  4. Step 4: Simplify right side
    71,955.68x = 2,981,339,258.40
  5. Step 5: Solve for x
    x = 2,981,339,258.40/71,955.68
  6. Step 6: Final answer
    x = 41,432.99

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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.