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Finding the Fourth Proportional to 180,327, 270,552.84 and 68,039.40

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Solution

The fourth proportional to 180,327, 270,552.84 and 68,039.40 is: 102,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,327 : 270,552.84 = 68,039.40 : x
  2. Step 2: Convert to fraction form
    180,327/270,552.84 = 68,039.40/x
  3. Step 3: Cross multiply
    180,327x = 270,552.84 × 68,039.40
  4. Step 4: Simplify right side
    180,327x = 18,408,252,901.90
  5. Step 5: Solve for x
    x = 18,408,252,901.90/180,327
  6. Step 6: Final answer
    x = 102,082.62

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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.