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Finding the Fourth Proportional to 75,859, 104,685.42 and 42,325

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Solution

The fourth proportional to 75,859, 104,685.42 and 42,325 is: 58,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859 : 104,685.42 = 42,325 : x
  2. Step 2: Convert to fraction form
    75,859/104,685.42 = 42,325/x
  3. Step 3: Cross multiply
    75,859x = 104,685.42 × 42,325
  4. Step 4: Simplify right side
    75,859x = 4,430,810,401.50
  5. Step 5: Solve for x
    x = 4,430,810,401.50/75,859
  6. Step 6: Final answer
    x = 58,408.50

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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.