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Finding the Fourth Proportional to 132,192,209.40, 198,288,314.10 and 132,192,209.40

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Solution

The fourth proportional to 132,192,209.40, 198,288,314.10 and 132,192,209.40 is: 198,288,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192,209.40 : 198,288,314.10 = 132,192,209.40 : x
  2. Step 2: Convert to fraction form
    132,192,209.40/198,288,314.10 = 132,192,209.40/x
  3. Step 3: Cross multiply
    132,192,209.40x = 198,288,314.10 × 132,192,209.40
  4. Step 4: Simplify right side
    132,192,209.40x = 26,212,170,339,080,172
  5. Step 5: Solve for x
    x = 26,212,170,339,080,172/132,192,209.40
  6. Step 6: Final answer
    x = 198,288,314.10

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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.