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Finding the Fourth Proportional to 220,171.38, 330,207.39 and 101,778

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Solution

The fourth proportional to 220,171.38, 330,207.39 and 101,778 is: 152,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,171.38 : 330,207.39 = 101,778 : x
  2. Step 2: Convert to fraction form
    220,171.38/330,207.39 = 101,778/x
  3. Step 3: Cross multiply
    220,171.38x = 330,207.39 × 101,778
  4. Step 4: Simplify right side
    220,171.38x = 33,607,847,739.42
  5. Step 5: Solve for x
    x = 33,607,847,739.42/220,171.38
  6. Step 6: Final answer
    x = 152,644.03

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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.