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Finding the Fourth Proportional to 78,177.44, 107,884.41 and 42,367.43

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Solution

The fourth proportional to 78,177.44, 107,884.41 and 42,367.43 is: 58,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.44 : 107,884.41 = 42,367.43 : x
  2. Step 2: Convert to fraction form
    78,177.44/107,884.41 = 42,367.43/x
  3. Step 3: Cross multiply
    78,177.44x = 107,884.41 × 42,367.43
  4. Step 4: Simplify right side
    78,177.44x = 4,570,785,188.77
  5. Step 5: Solve for x
    x = 4,570,785,188.77/78,177.44
  6. Step 6: Final answer
    x = 58,466.81

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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.