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Finding the Fourth Proportional to 142,555.44, 196,733.34 and 82,135.38

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Solution

The fourth proportional to 142,555.44, 196,733.34 and 82,135.38 is: 113,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,555.44 : 196,733.34 = 82,135.38 : x
  2. Step 2: Convert to fraction form
    142,555.44/196,733.34 = 82,135.38/x
  3. Step 3: Cross multiply
    142,555.44x = 196,733.34 × 82,135.38
  4. Step 4: Simplify right side
    142,555.44x = 16,158,767,639.57
  5. Step 5: Solve for x
    x = 16,158,767,639.57/142,555.44
  6. Step 6: Final answer
    x = 113,350.76

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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.