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Finding the Fourth Proportional to 75,428, 104,093.92 and 41,894

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Solution

The fourth proportional to 75,428, 104,093.92 and 41,894 is: 57,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,428 : 104,093.92 = 41,894 : x
  2. Step 2: Convert to fraction form
    75,428/104,093.92 = 41,894/x
  3. Step 3: Cross multiply
    75,428x = 104,093.92 × 41,894
  4. Step 4: Simplify right side
    75,428x = 4,360,910,684.48
  5. Step 5: Solve for x
    x = 4,360,910,684.48/75,428
  6. Step 6: Final answer
    x = 57,815.54

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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.