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Finding the Fourth Proportional to 80,948.76, 111,709.28 and 47,414.76

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Solution

The fourth proportional to 80,948.76, 111,709.28 and 47,414.76 is: 65,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948.76 : 111,709.28 = 47,414.76 : x
  2. Step 2: Convert to fraction form
    80,948.76/111,709.28 = 47,414.76/x
  3. Step 3: Cross multiply
    80,948.76x = 111,709.28 × 47,414.76
  4. Step 4: Simplify right side
    80,948.76x = 5,296,668,700.97
  5. Step 5: Solve for x
    x = 5,296,668,700.97/80,948.76
  6. Step 6: Final answer
    x = 65,432.36

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1.5x scale

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.