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Finding the Fourth Proportional to 180,457.38, 270,700.11 and 75,306.42

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Solution

The fourth proportional to 180,457.38, 270,700.11 and 75,306.42 is: 112,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,457.38 : 270,700.11 = 75,306.42 : x
  2. Step 2: Convert to fraction form
    180,457.38/270,700.11 = 75,306.42/x
  3. Step 3: Cross multiply
    180,457.38x = 270,700.11 × 75,306.42
  4. Step 4: Simplify right side
    180,457.38x = 20,385,456,177.71
  5. Step 5: Solve for x
    x = 20,385,456,177.71/180,457.38
  6. Step 6: Final answer
    x = 112,965.49

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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.