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Finding the Fourth Proportional to 120,181, 180,057.66 and 102,471.16

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Solution

The fourth proportional to 120,181, 180,057.66 and 102,471.16 is: 153,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181 : 180,057.66 = 102,471.16 : x
  2. Step 2: Convert to fraction form
    120,181/180,057.66 = 102,471.16/x
  3. Step 3: Cross multiply
    120,181x = 180,057.66 × 102,471.16
  4. Step 4: Simplify right side
    120,181x = 18,450,717,287.09
  5. Step 5: Solve for x
    x = 18,450,717,287.09/120,181
  6. Step 6: Final answer
    x = 153,524.41

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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.