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Finding the Fourth Proportional to 132,714.40, 199,378.80 and 91,242.40

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Solution

The fourth proportional to 132,714.40, 199,378.80 and 91,242.40 is: 137,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,714.40 : 199,378.80 = 91,242.40 : x
  2. Step 2: Convert to fraction form
    132,714.40/199,378.80 = 91,242.40/x
  3. Step 3: Cross multiply
    132,714.40x = 199,378.80 × 91,242.40
  4. Step 4: Simplify right side
    132,714.40x = 18,191,800,221.12
  5. Step 5: Solve for x
    x = 18,191,800,221.12/132,714.40
  6. Step 6: Final answer
    x = 137,074.80

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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.