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Finding the Fourth Proportional to 180,047.28, 270,158.88 and 120,114.72

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Solution

The fourth proportional to 180,047.28, 270,158.88 and 120,114.72 is: 180,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,047.28 : 270,158.88 = 120,114.72 : x
  2. Step 2: Convert to fraction form
    180,047.28/270,158.88 = 120,114.72/x
  3. Step 3: Cross multiply
    180,047.28x = 270,158.88 × 120,114.72
  4. Step 4: Simplify right side
    180,047.28x = 32,450,058,226.71
  5. Step 5: Solve for x
    x = 32,450,058,226.71/180,047.28
  6. Step 6: Final answer
    x = 180,230.76

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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.