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Finding the Fourth Proportional to 132,419.10, 198,713.70 and 73,297.20

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Solution

The fourth proportional to 132,419.10, 198,713.70 and 73,297.20 is: 109,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,419.10 : 198,713.70 = 73,297.20 : x
  2. Step 2: Convert to fraction form
    132,419.10/198,713.70 = 73,297.20/x
  3. Step 3: Cross multiply
    132,419.10x = 198,713.70 × 73,297.20
  4. Step 4: Simplify right side
    132,419.10x = 14,565,157,811.64
  5. Step 5: Solve for x
    x = 14,565,157,811.64/132,419.10
  6. Step 6: Final answer
    x = 109,992.88

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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.