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Finding the Fourth Proportional to 78,397, 108,187.86 and 43,069

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Solution

The fourth proportional to 78,397, 108,187.86 and 43,069 is: 59,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,397 : 108,187.86 = 43,069 : x
  2. Step 2: Convert to fraction form
    78,397/108,187.86 = 43,069/x
  3. Step 3: Cross multiply
    78,397x = 108,187.86 × 43,069
  4. Step 4: Simplify right side
    78,397x = 4,659,542,942.34
  5. Step 5: Solve for x
    x = 4,659,542,942.34/78,397
  6. Step 6: Final answer
    x = 59,435.22

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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.