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Finding the Fourth Proportional to 142,391.28, 196,478.88 and 81,138

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Solution

The fourth proportional to 142,391.28, 196,478.88 and 81,138 is: 111,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,391.28 : 196,478.88 = 81,138 : x
  2. Step 2: Convert to fraction form
    142,391.28/196,478.88 = 81,138/x
  3. Step 3: Cross multiply
    142,391.28x = 196,478.88 × 81,138
  4. Step 4: Simplify right side
    142,391.28x = 15,941,903,365.44
  5. Step 5: Solve for x
    x = 15,941,903,365.44/142,391.28
  6. Step 6: Final answer
    x = 111,958.42

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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.