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Finding the Fourth Proportional to 142,906.80, 197,197.17 and 82,496.90

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Solution

The fourth proportional to 142,906.80, 197,197.17 and 82,496.90 is: 113,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,906.80 : 197,197.17 = 82,496.90 : x
  2. Step 2: Convert to fraction form
    142,906.80/197,197.17 = 82,496.90/x
  3. Step 3: Cross multiply
    142,906.80x = 197,197.17 × 82,496.90
  4. Step 4: Simplify right side
    142,906.80x = 16,268,155,213.77
  5. Step 5: Solve for x
    x = 16,268,155,213.77/142,906.80
  6. Step 6: Final answer
    x = 113,837.52

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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.