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Finding the Fourth Proportional to 263,763.72, 363,993.40 and 142,908.08

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Solution

The fourth proportional to 263,763.72, 363,993.40 and 142,908.08 is: 197,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,763.72 : 363,993.40 = 142,908.08 : x
  2. Step 2: Convert to fraction form
    263,763.72/363,993.40 = 142,908.08/x
  3. Step 3: Cross multiply
    263,763.72x = 363,993.40 × 142,908.08
  4. Step 4: Simplify right side
    263,763.72x = 52,017,597,926.67
  5. Step 5: Solve for x
    x = 52,017,597,926.67/263,763.72
  6. Step 6: Final answer
    x = 197,212.86

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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.