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Finding the Fourth Proportional to 180,349.68, 270,549.12 and 75,144

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Solution

The fourth proportional to 180,349.68, 270,549.12 and 75,144 is: 112,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,349.68 : 270,549.12 = 75,144 : x
  2. Step 2: Convert to fraction form
    180,349.68/270,549.12 = 75,144/x
  3. Step 3: Cross multiply
    180,349.68x = 270,549.12 × 75,144
  4. Step 4: Simplify right side
    180,349.68x = 20,330,143,073.28
  5. Step 5: Solve for x
    x = 20,330,143,073.28/180,349.68
  6. Step 6: Final answer
    x = 112,726.25

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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.