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Finding the Fourth Proportional to 139,517.84, 192,537.10 and 75,856.10

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Solution

The fourth proportional to 139,517.84, 192,537.10 and 75,856.10 is: 104,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,517.84 : 192,537.10 = 75,856.10 : x
  2. Step 2: Convert to fraction form
    139,517.84/192,537.10 = 75,856.10/x
  3. Step 3: Cross multiply
    139,517.84x = 192,537.10 × 75,856.10
  4. Step 4: Simplify right side
    139,517.84x = 14,605,112,643.44
  5. Step 5: Solve for x
    x = 14,605,112,643.44/139,517.84
  6. Step 6: Final answer
    x = 104,682.76

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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.