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Finding the Fourth Proportional to 214,595.20, 321,764.80 and 131,548.80

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Solution

The fourth proportional to 214,595.20, 321,764.80 and 131,548.80 is: 197,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,595.20 : 321,764.80 = 131,548.80 : x
  2. Step 2: Convert to fraction form
    214,595.20/321,764.80 = 131,548.80/x
  3. Step 3: Cross multiply
    214,595.20x = 321,764.80 × 131,548.80
  4. Step 4: Simplify right side
    214,595.20x = 42,327,773,322.24
  5. Step 5: Solve for x
    x = 42,327,773,322.24/214,595.20
  6. Step 6: Final answer
    x = 197,244.73

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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.