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Finding the Fourth Proportional to 75,660, 104,418.12 and 42,126

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Solution

The fourth proportional to 75,660, 104,418.12 and 42,126 is: 58,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,660 : 104,418.12 = 42,126 : x
  2. Step 2: Convert to fraction form
    75,660/104,418.12 = 42,126/x
  3. Step 3: Cross multiply
    75,660x = 104,418.12 × 42,126
  4. Step 4: Simplify right side
    75,660x = 4,398,717,723.12
  5. Step 5: Solve for x
    x = 4,398,717,723.12/75,660
  6. Step 6: Final answer
    x = 58,137.96

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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.