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Finding the Fourth Proportional to 120,568.75, 180,853.21 and 30,618.20

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Solution

The fourth proportional to 120,568.75, 180,853.21 and 30,618.20 is: 45,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,568.75 : 180,853.21 = 30,618.20 : x
  2. Step 2: Convert to fraction form
    120,568.75/180,853.21 = 30,618.20/x
  3. Step 3: Cross multiply
    120,568.75x = 180,853.21 × 30,618.20
  4. Step 4: Simplify right side
    120,568.75x = 5,537,399,754.42
  5. Step 5: Solve for x
    x = 5,537,399,754.42/120,568.75
  6. Step 6: Final answer
    x = 45,927.32

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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.