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Finding the Fourth Proportional to 263,651.62, 363,839.11 and 142,792.90

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Solution

The fourth proportional to 263,651.62, 363,839.11 and 142,792.90 is: 197,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,651.62 : 363,839.11 = 142,792.90 : x
  2. Step 2: Convert to fraction form
    263,651.62/363,839.11 = 142,792.90/x
  3. Step 3: Cross multiply
    263,651.62x = 363,839.11 × 142,792.90
  4. Step 4: Simplify right side
    263,651.62x = 51,953,641,650.32
  5. Step 5: Solve for x
    x = 51,953,641,650.32/263,651.62
  6. Step 6: Final answer
    x = 197,054.13

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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.