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Finding the Fourth Proportional to 75,791, 104,591.58 and 42,257

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Solution

The fourth proportional to 75,791, 104,591.58 and 42,257 is: 58,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,791 : 104,591.58 = 42,257 : x
  2. Step 2: Convert to fraction form
    75,791/104,591.58 = 42,257/x
  3. Step 3: Cross multiply
    75,791x = 104,591.58 × 42,257
  4. Step 4: Simplify right side
    75,791x = 4,419,726,396.06
  5. Step 5: Solve for x
    x = 4,419,726,396.06/75,791
  6. Step 6: Final answer
    x = 58,314.66

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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.