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Finding the Fourth Proportional to 146,866.60, 220,146.30 and 80,204.20

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Solution

The fourth proportional to 146,866.60, 220,146.30 and 80,204.20 is: 120,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,866.60 : 220,146.30 = 80,204.20 : x
  2. Step 2: Convert to fraction form
    146,866.60/220,146.30 = 80,204.20/x
  3. Step 3: Cross multiply
    146,866.60x = 220,146.30 × 80,204.20
  4. Step 4: Simplify right side
    146,866.60x = 17,656,657,874.46
  5. Step 5: Solve for x
    x = 17,656,657,874.46/146,866.60
  6. Step 6: Final answer
    x = 120,222.42

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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.