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Finding the Fourth Proportional to 120,728.48, 181,034.39 and 70,824.78

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Solution

The fourth proportional to 120,728.48, 181,034.39 and 70,824.78 is: 106,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728.48 : 181,034.39 = 70,824.78 : x
  2. Step 2: Convert to fraction form
    120,728.48/181,034.39 = 70,824.78/x
  3. Step 3: Cross multiply
    120,728.48x = 181,034.39 × 70,824.78
  4. Step 4: Simplify right side
    120,728.48x = 12,821,721,021.25
  5. Step 5: Solve for x
    x = 12,821,721,021.25/120,728.48
  6. Step 6: Final answer
    x = 106,202.96

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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.