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Finding the Fourth Proportional to 120,376.62, 180,559.53 and 57,150.54

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Solution

The fourth proportional to 120,376.62, 180,559.53 and 57,150.54 is: 85,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,376.62 : 180,559.53 = 57,150.54 : x
  2. Step 2: Convert to fraction form
    120,376.62/180,559.53 = 57,150.54/x
  3. Step 3: Cross multiply
    120,376.62x = 180,559.53 × 57,150.54
  4. Step 4: Simplify right side
    120,376.62x = 10,319,074,641.65
  5. Step 5: Solve for x
    x = 10,319,074,641.65/120,376.62
  6. Step 6: Final answer
    x = 85,723.25

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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.