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Finding the Fourth Proportional to 180,447.88, 270,132.54 and 109,154.78

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Solution

The fourth proportional to 180,447.88, 270,132.54 and 109,154.78 is: 163,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,447.88 : 270,132.54 = 109,154.78 : x
  2. Step 2: Convert to fraction form
    180,447.88/270,132.54 = 109,154.78/x
  3. Step 3: Cross multiply
    180,447.88x = 270,132.54 × 109,154.78
  4. Step 4: Simplify right side
    180,447.88x = 29,486,257,974.54
  5. Step 5: Solve for x
    x = 29,486,257,974.54/180,447.88
  6. Step 6: Final answer
    x = 163,405.95

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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.