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Finding the Fourth Proportional to 209,321.55, 313,758.72 and 96,870.87

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Solution

The fourth proportional to 209,321.55, 313,758.72 and 96,870.87 is: 145,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,321.55 : 313,758.72 = 96,870.87 : x
  2. Step 2: Convert to fraction form
    209,321.55/313,758.72 = 96,870.87/x
  3. Step 3: Cross multiply
    209,321.55x = 313,758.72 × 96,870.87
  4. Step 4: Simplify right side
    209,321.55x = 30,394,080,176.49
  5. Step 5: Solve for x
    x = 30,394,080,176.49/209,321.55
  6. Step 6: Final answer
    x = 145,202.82

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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.