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Finding the Fourth Proportional to 100,716.58, 138,982.10 and 57,696.27

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Solution

The fourth proportional to 100,716.58, 138,982.10 and 57,696.27 is: 79,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716.58 : 138,982.10 = 57,696.27 : x
  2. Step 2: Convert to fraction form
    100,716.58/138,982.10 = 57,696.27/x
  3. Step 3: Cross multiply
    100,716.58x = 138,982.10 × 57,696.27
  4. Step 4: Simplify right side
    100,716.58x = 8,018,747,957.10
  5. Step 5: Solve for x
    x = 8,018,747,957.10/100,716.58
  6. Step 6: Final answer
    x = 79,616.96

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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.