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Finding the Fourth Proportional to 180,409.80, 270,721.58 and 100,514.64

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Solution

The fourth proportional to 180,409.80, 270,721.58 and 100,514.64 is: 150,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.80 : 270,721.58 = 100,514.64 : x
  2. Step 2: Convert to fraction form
    180,409.80/270,721.58 = 100,514.64/x
  3. Step 3: Cross multiply
    180,409.80x = 270,721.58 × 100,514.64
  4. Step 4: Simplify right side
    180,409.80x = 27,211,482,153.93
  5. Step 5: Solve for x
    x = 27,211,482,153.93/180,409.80
  6. Step 6: Final answer
    x = 150,831.51

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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.