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Finding the Fourth Proportional to 147,321.80, 220,982.70 and 84,336.20

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Solution

The fourth proportional to 147,321.80, 220,982.70 and 84,336.20 is: 126,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,321.80 : 220,982.70 = 84,336.20 : x
  2. Step 2: Convert to fraction form
    147,321.80/220,982.70 = 84,336.20/x
  3. Step 3: Cross multiply
    147,321.80x = 220,982.70 × 84,336.20
  4. Step 4: Simplify right side
    147,321.80x = 18,636,841,183.74
  5. Step 5: Solve for x
    x = 18,636,841,183.74/147,321.80
  6. Step 6: Final answer
    x = 126,504.30

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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.