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Finding the Fourth Proportional to 120,094.92, 180,142.38 and 31,347.65

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Solution

The fourth proportional to 120,094.92, 180,142.38 and 31,347.65 is: 47,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,094.92 : 180,142.38 = 31,347.65 : x
  2. Step 2: Convert to fraction form
    120,094.92/180,142.38 = 31,347.65/x
  3. Step 3: Cross multiply
    120,094.92x = 180,142.38 × 31,347.65
  4. Step 4: Simplify right side
    120,094.92x = 5,647,040,728.76
  5. Step 5: Solve for x
    x = 5,647,040,728.76/120,094.92
  6. Step 6: Final answer
    x = 47,021.48

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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.