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Finding the Fourth Proportional to 78,078, 107,747.64 and 44,543.28

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Solution

The fourth proportional to 78,078, 107,747.64 and 44,543.28 is: 61,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078 : 107,747.64 = 44,543.28 : x
  2. Step 2: Convert to fraction form
    78,078/107,747.64 = 44,543.28/x
  3. Step 3: Cross multiply
    78,078x = 107,747.64 × 44,543.28
  4. Step 4: Simplify right side
    78,078x = 4,799,433,297.86
  5. Step 5: Solve for x
    x = 4,799,433,297.86/78,078
  6. Step 6: Final answer
    x = 61,469.73

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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.