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Finding the Fourth Proportional to 220,190.70, 329,848.65 and 120,171.90

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Solution

The fourth proportional to 220,190.70, 329,848.65 and 120,171.90 is: 180,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,190.70 : 329,848.65 = 120,171.90 : x
  2. Step 2: Convert to fraction form
    220,190.70/329,848.65 = 120,171.90/x
  3. Step 3: Cross multiply
    220,190.70x = 329,848.65 × 120,171.90
  4. Step 4: Simplify right side
    220,190.70x = 39,638,538,982.94
  5. Step 5: Solve for x
    x = 39,638,538,982.94/220,190.70
  6. Step 6: Final answer
    x = 180,019.13

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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.