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Finding the Fourth Proportional to 161,443.20, 242,078.40 and 67,843.20

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Solution

The fourth proportional to 161,443.20, 242,078.40 and 67,843.20 is: 101,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,443.20 : 242,078.40 = 67,843.20 : x
  2. Step 2: Convert to fraction form
    161,443.20/242,078.40 = 67,843.20/x
  3. Step 3: Cross multiply
    161,443.20x = 242,078.40 × 67,843.20
  4. Step 4: Simplify right side
    161,443.20x = 16,423,373,306.88
  5. Step 5: Solve for x
    x = 16,423,373,306.88/161,443.20
  6. Step 6: Final answer
    x = 101,728.49

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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.