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Finding the Fourth Proportional to 263,586.63, 363,749.03 and 142,727.54

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Solution

The fourth proportional to 263,586.63, 363,749.03 and 142,727.54 is: 196,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,586.63 : 363,749.03 = 142,727.54 : x
  2. Step 2: Convert to fraction form
    263,586.63/363,749.03 = 142,727.54/x
  3. Step 3: Cross multiply
    263,586.63x = 363,749.03 × 142,727.54
  4. Step 4: Simplify right side
    263,586.63x = 51,917,001,696.90
  5. Step 5: Solve for x
    x = 51,917,001,696.90/263,586.63
  6. Step 6: Final answer
    x = 196,963.72

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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.