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Finding the Fourth Proportional to 139,505.40, 192,518.22 and 82,147.20

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Solution

The fourth proportional to 139,505.40, 192,518.22 and 82,147.20 is: 113,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,505.40 : 192,518.22 = 82,147.20 : x
  2. Step 2: Convert to fraction form
    139,505.40/192,518.22 = 82,147.20/x
  3. Step 3: Cross multiply
    139,505.40x = 192,518.22 × 82,147.20
  4. Step 4: Simplify right side
    139,505.40x = 15,814,832,721.98
  5. Step 5: Solve for x
    x = 15,814,832,721.98/139,505.40
  6. Step 6: Final answer
    x = 113,363.59

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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.