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Finding the Fourth Proportional to 180,347.76, 270,546.30 and 75,142.17

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Solution

The fourth proportional to 180,347.76, 270,546.30 and 75,142.17 is: 112,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,347.76 : 270,546.30 = 75,142.17 : x
  2. Step 2: Convert to fraction form
    180,347.76/270,546.30 = 75,142.17/x
  3. Step 3: Cross multiply
    180,347.76x = 270,546.30 × 75,142.17
  4. Step 4: Simplify right side
    180,347.76x = 20,329,436,067.47
  5. Step 5: Solve for x
    x = 20,329,436,067.47/180,347.76
  6. Step 6: Final answer
    x = 112,723.53

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1.5x scale

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.