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Finding the Fourth Proportional to 83,951.68, 125,946 and 27,809.20

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Solution

The fourth proportional to 83,951.68, 125,946 and 27,809.20 is: 41,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,951.68 : 125,946 = 27,809.20 : x
  2. Step 2: Convert to fraction form
    83,951.68/125,946 = 27,809.20/x
  3. Step 3: Cross multiply
    83,951.68x = 125,946 × 27,809.20
  4. Step 4: Simplify right side
    83,951.68x = 3,502,457,503.20
  5. Step 5: Solve for x
    x = 3,502,457,503.20/83,951.68
  6. Step 6: Final answer
    x = 41,719.92

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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.