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Finding the Fourth Proportional to 78,064.52, 107,745.90 and 49,365.86

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Solution

The fourth proportional to 78,064.52, 107,745.90 and 49,365.86 is: 68,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064.52 : 107,745.90 = 49,365.86 : x
  2. Step 2: Convert to fraction form
    78,064.52/107,745.90 = 49,365.86/x
  3. Step 3: Cross multiply
    78,064.52x = 107,745.90 × 49,365.86
  4. Step 4: Simplify right side
    78,064.52x = 5,318,969,014.97
  5. Step 5: Solve for x
    x = 5,318,969,014.97/78,064.52
  6. Step 6: Final answer
    x = 68,135.55

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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.