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Finding the Fourth Proportional to 76,791.13, 105,972.26 and 42,801.78

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Solution

The fourth proportional to 76,791.13, 105,972.26 and 42,801.78 is: 59,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.13 : 105,972.26 = 42,801.78 : x
  2. Step 2: Convert to fraction form
    76,791.13/105,972.26 = 42,801.78/x
  3. Step 3: Cross multiply
    76,791.13x = 105,972.26 × 42,801.78
  4. Step 4: Simplify right side
    76,791.13x = 4,535,801,252.41
  5. Step 5: Solve for x
    x = 4,535,801,252.41/76,791.13
  6. Step 6: Final answer
    x = 59,066.73

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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.