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Finding the Fourth Proportional to 214,773.28, 321,796.08 and 131,493.28

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Solution

The fourth proportional to 214,773.28, 321,796.08 and 131,493.28 is: 197,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,773.28 : 321,796.08 = 131,493.28 : x
  2. Step 2: Convert to fraction form
    214,773.28/321,796.08 = 131,493.28/x
  3. Step 3: Cross multiply
    214,773.28x = 321,796.08 × 131,493.28
  4. Step 4: Simplify right side
    214,773.28x = 42,314,022,050.34
  5. Step 5: Solve for x
    x = 42,314,022,050.34/214,773.28
  6. Step 6: Final answer
    x = 197,017.16

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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.