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Finding the Fourth Proportional to 263,618.55, 363,794.64 and 142,759.89

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Solution

The fourth proportional to 263,618.55, 363,794.64 and 142,759.89 is: 197,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,618.55 : 363,794.64 = 142,759.89 : x
  2. Step 2: Convert to fraction form
    263,618.55/363,794.64 = 142,759.89/x
  3. Step 3: Cross multiply
    263,618.55x = 363,794.64 × 142,759.89
  4. Step 4: Simplify right side
    263,618.55x = 51,935,282,788.99
  5. Step 5: Solve for x
    x = 51,935,282,788.99/263,618.55
  6. Step 6: Final answer
    x = 197,009.21

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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.