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Finding the Fourth Proportional to 78,804.66, 108,716.13 and 51,912.66

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Solution

The fourth proportional to 78,804.66, 108,716.13 and 51,912.66 is: 71,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804.66 : 108,716.13 = 51,912.66 : x
  2. Step 2: Convert to fraction form
    78,804.66/108,716.13 = 51,912.66/x
  3. Step 3: Cross multiply
    78,804.66x = 108,716.13 × 51,912.66
  4. Step 4: Simplify right side
    78,804.66x = 5,643,743,493.21
  5. Step 5: Solve for x
    x = 5,643,743,493.21/78,804.66
  6. Step 6: Final answer
    x = 71,616.88

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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.