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Finding the Fourth Proportional to 263,758.65, 363,987.30 and 142,899.94

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Solution

The fourth proportional to 263,758.65, 363,987.30 and 142,899.94 is: 197,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,758.65 : 363,987.30 = 142,899.94 : x
  2. Step 2: Convert to fraction form
    263,758.65/363,987.30 = 142,899.94/x
  3. Step 3: Cross multiply
    263,758.65x = 363,987.30 × 142,899.94
  4. Step 4: Simplify right side
    263,758.65x = 52,013,764,321.62
  5. Step 5: Solve for x
    x = 52,013,764,321.62/263,758.65
  6. Step 6: Final answer
    x = 197,202.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.