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Finding the Fourth Proportional to 180,158.88, 270,252.36 and 105,286.80

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Solution

The fourth proportional to 180,158.88, 270,252.36 and 105,286.80 is: 157,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,158.88 : 270,252.36 = 105,286.80 : x
  2. Step 2: Convert to fraction form
    180,158.88/270,252.36 = 105,286.80/x
  3. Step 3: Cross multiply
    180,158.88x = 270,252.36 × 105,286.80
  4. Step 4: Simplify right side
    180,158.88x = 28,454,006,176.85
  5. Step 5: Solve for x
    x = 28,454,006,176.85/180,158.88
  6. Step 6: Final answer
    x = 157,938.41

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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.