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Finding the Fourth Proportional to 263,647.53, 363,833.03 and 142,788.45

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Solution

The fourth proportional to 263,647.53, 363,833.03 and 142,788.45 is: 197,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,647.53 : 363,833.03 = 142,788.45 : x
  2. Step 2: Convert to fraction form
    263,647.53/363,833.03 = 142,788.45/x
  3. Step 3: Cross multiply
    263,647.53x = 363,833.03 × 142,788.45
  4. Step 4: Simplify right side
    263,647.53x = 51,951,153,698.56
  5. Step 5: Solve for x
    x = 51,951,153,698.56/263,647.53
  6. Step 6: Final answer
    x = 197,047.75

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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.