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Finding the Fourth Proportional to 196,758.60, 294,693.84 and 137,857.20

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Solution

The fourth proportional to 196,758.60, 294,693.84 and 137,857.20 is: 206,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,758.60 : 294,693.84 = 137,857.20 : x
  2. Step 2: Convert to fraction form
    196,758.60/294,693.84 = 137,857.20/x
  3. Step 3: Cross multiply
    196,758.60x = 294,693.84 × 137,857.20
  4. Step 4: Simplify right side
    196,758.60x = 40,625,667,639.65
  5. Step 5: Solve for x
    x = 40,625,667,639.65/196,758.60
  6. Step 6: Final answer
    x = 206,474.67

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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.