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Finding the Fourth Proportional to 75,654, 104,414.97 and 57,715.14

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Solution

The fourth proportional to 75,654, 104,414.97 and 57,715.14 is: 79,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,654 : 104,414.97 = 57,715.14 : x
  2. Step 2: Convert to fraction form
    75,654/104,414.97 = 57,715.14/x
  3. Step 3: Cross multiply
    75,654x = 104,414.97 × 57,715.14
  4. Step 4: Simplify right side
    75,654x = 6,026,324,611.65
  5. Step 5: Solve for x
    x = 6,026,324,611.65/75,654
  6. Step 6: Final answer
    x = 79,656.39

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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.