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Finding the Fourth Proportional to 78,115.11, 107,791.14 and 43,653.48

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Solution

The fourth proportional to 78,115.11, 107,791.14 and 43,653.48 is: 60,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.11 : 107,791.14 = 43,653.48 : x
  2. Step 2: Convert to fraction form
    78,115.11/107,791.14 = 43,653.48/x
  3. Step 3: Cross multiply
    78,115.11x = 107,791.14 × 43,653.48
  4. Step 4: Simplify right side
    78,115.11x = 4,705,458,374.17
  5. Step 5: Solve for x
    x = 4,705,458,374.17/78,115.11
  6. Step 6: Final answer
    x = 60,237.49

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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.