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Finding the Fourth Proportional to 142,615.53, 196,794.50 and 82,174.14

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Solution

The fourth proportional to 142,615.53, 196,794.50 and 82,174.14 is: 113,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,615.53 : 196,794.50 = 82,174.14 : x
  2. Step 2: Convert to fraction form
    142,615.53/196,794.50 = 82,174.14/x
  3. Step 3: Cross multiply
    142,615.53x = 196,794.50 × 82,174.14
  4. Step 4: Simplify right side
    142,615.53x = 16,171,418,383.36
  5. Step 5: Solve for x
    x = 16,171,418,383.36/142,615.53
  6. Step 6: Final answer
    x = 113,391.71

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1.5x scale

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.