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Finding the Fourth Proportional to 220,199.70, 329,862.15 and 120,180.90

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Solution

The fourth proportional to 220,199.70, 329,862.15 and 120,180.90 is: 180,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,199.70 : 329,862.15 = 120,180.90 : x
  2. Step 2: Convert to fraction form
    220,199.70/329,862.15 = 120,180.90/x
  3. Step 3: Cross multiply
    220,199.70x = 329,862.15 × 120,180.90
  4. Step 4: Simplify right side
    220,199.70x = 39,643,130,062.94
  5. Step 5: Solve for x
    x = 39,643,130,062.94/220,199.70
  6. Step 6: Final answer
    x = 180,032.63

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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.