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Finding the Fourth Proportional to 214,414.08, 321,534.72 and 64,608

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Solution

The fourth proportional to 214,414.08, 321,534.72 and 64,608 is: 96,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,414.08 : 321,534.72 = 64,608 : x
  2. Step 2: Convert to fraction form
    214,414.08/321,534.72 = 64,608/x
  3. Step 3: Cross multiply
    214,414.08x = 321,534.72 × 64,608
  4. Step 4: Simplify right side
    214,414.08x = 20,773,715,189.76
  5. Step 5: Solve for x
    x = 20,773,715,189.76/214,414.08
  6. Step 6: Final answer
    x = 96,885.97

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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.