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Finding the Fourth Proportional to 220,408.20, 330,785.10 and 102,094.20

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Solution

The fourth proportional to 220,408.20, 330,785.10 and 102,094.20 is: 153,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,408.20 : 330,785.10 = 102,094.20 : x
  2. Step 2: Convert to fraction form
    220,408.20/330,785.10 = 102,094.20/x
  3. Step 3: Cross multiply
    220,408.20x = 330,785.10 × 102,094.20
  4. Step 4: Simplify right side
    220,408.20x = 33,771,240,156.42
  5. Step 5: Solve for x
    x = 33,771,240,156.42/220,408.20
  6. Step 6: Final answer
    x = 153,221.34

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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.