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Finding the Fourth Proportional to 180,351.68, 270,552.12 and 75,146

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Solution

The fourth proportional to 180,351.68, 270,552.12 and 75,146 is: 112,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,351.68 : 270,552.12 = 75,146 : x
  2. Step 2: Convert to fraction form
    180,351.68/270,552.12 = 75,146/x
  3. Step 3: Cross multiply
    180,351.68x = 270,552.12 × 75,146
  4. Step 4: Simplify right side
    180,351.68x = 20,330,909,609.52
  5. Step 5: Solve for x
    x = 20,330,909,609.52/180,351.68
  6. Step 6: Final answer
    x = 112,729.25

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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.