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Finding the Fourth Proportional to 142,679.39, 196,899.62 and 82,248.93

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Solution

The fourth proportional to 142,679.39, 196,899.62 and 82,248.93 is: 113,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,679.39 : 196,899.62 = 82,248.93 : x
  2. Step 2: Convert to fraction form
    142,679.39/196,899.62 = 82,248.93/x
  3. Step 3: Cross multiply
    142,679.39x = 196,899.62 × 82,248.93
  4. Step 4: Simplify right side
    142,679.39x = 16,194,782,651.16
  5. Step 5: Solve for x
    x = 16,194,782,651.16/142,679.39
  6. Step 6: Final answer
    x = 113,504.71

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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.