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Finding the Fourth Proportional to 180,549.78, 270,737.18 and 90,553.82

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Solution

The fourth proportional to 180,549.78, 270,737.18 and 90,553.82 is: 135,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,549.78 : 270,737.18 = 90,553.82 : x
  2. Step 2: Convert to fraction form
    180,549.78/270,737.18 = 90,553.82/x
  3. Step 3: Cross multiply
    180,549.78x = 270,737.18 × 90,553.82
  4. Step 4: Simplify right side
    180,549.78x = 24,516,285,865.03
  5. Step 5: Solve for x
    x = 24,516,285,865.03/180,549.78
  6. Step 6: Final answer
    x = 135,786.85

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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.