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Finding the Fourth Proportional to 180,109.68, 270,144.36 and 69,223.92

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Solution

The fourth proportional to 180,109.68, 270,144.36 and 69,223.92 is: 103,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,109.68 : 270,144.36 = 69,223.92 : x
  2. Step 2: Convert to fraction form
    180,109.68/270,144.36 = 69,223.92/x
  3. Step 3: Cross multiply
    180,109.68x = 270,144.36 × 69,223.92
  4. Step 4: Simplify right side
    180,109.68x = 18,700,451,565.09
  5. Step 5: Solve for x
    x = 18,700,451,565.09/180,109.68
  6. Step 6: Final answer
    x = 103,828.13

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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.