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Finding the Fourth Proportional to 180,388.15, 270,538.48 and 75,149.71

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Solution

The fourth proportional to 180,388.15, 270,538.48 and 75,149.71 is: 112,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,388.15 : 270,538.48 = 75,149.71 : x
  2. Step 2: Convert to fraction form
    180,388.15/270,538.48 = 75,149.71/x
  3. Step 3: Cross multiply
    180,388.15x = 270,538.48 × 75,149.71
  4. Step 4: Simplify right side
    180,388.15x = 20,330,887,733.43
  5. Step 5: Solve for x
    x = 20,330,887,733.43/180,388.15
  6. Step 6: Final answer
    x = 112,706.34

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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.