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Finding the Fourth Proportional to 214,489.88, 321,737.28 and 64,731.48

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Solution

The fourth proportional to 214,489.88, 321,737.28 and 64,731.48 is: 97,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,489.88 : 321,737.28 = 64,731.48 : x
  2. Step 2: Convert to fraction form
    214,489.88/321,737.28 = 64,731.48/x
  3. Step 3: Cross multiply
    214,489.88x = 321,737.28 × 64,731.48
  4. Step 4: Simplify right side
    214,489.88x = 20,826,530,305.57
  5. Step 5: Solve for x
    x = 20,826,530,305.57/214,489.88
  6. Step 6: Final answer
    x = 97,097.96

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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.