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Finding the Fourth Proportional to 255,868.06, 353,097.12 and 142,690.78

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Solution

The fourth proportional to 255,868.06, 353,097.12 and 142,690.78 is: 196,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,868.06 : 353,097.12 = 142,690.78 : x
  2. Step 2: Convert to fraction form
    255,868.06/353,097.12 = 142,690.78/x
  3. Step 3: Cross multiply
    255,868.06x = 353,097.12 × 142,690.78
  4. Step 4: Simplify right side
    255,868.06x = 50,383,703,468.55
  5. Step 5: Solve for x
    x = 50,383,703,468.55/255,868.06
  6. Step 6: Final answer
    x = 196,912.83

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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.