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Finding the Fourth Proportional to 214,481.80, 321,761.10 and 89,835.40

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Solution

The fourth proportional to 214,481.80, 321,761.10 and 89,835.40 is: 134,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,481.80 : 321,761.10 = 89,835.40 : x
  2. Step 2: Convert to fraction form
    214,481.80/321,761.10 = 89,835.40/x
  3. Step 3: Cross multiply
    214,481.80x = 321,761.10 × 89,835.40
  4. Step 4: Simplify right side
    214,481.80x = 28,905,537,122.94
  5. Step 5: Solve for x
    x = 28,905,537,122.94/214,481.80
  6. Step 6: Final answer
    x = 134,769.18

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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.