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Finding the Fourth Proportional to 137,616.71, 189,906.73 and 83,882.12

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Solution

The fourth proportional to 137,616.71, 189,906.73 and 83,882.12 is: 115,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,616.71 : 189,906.73 = 83,882.12 : x
  2. Step 2: Convert to fraction form
    137,616.71/189,906.73 = 83,882.12/x
  3. Step 3: Cross multiply
    137,616.71x = 189,906.73 × 83,882.12
  4. Step 4: Simplify right side
    137,616.71x = 15,929,777,955.43
  5. Step 5: Solve for x
    x = 15,929,777,955.43/137,616.71
  6. Step 6: Final answer
    x = 115,754.68

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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.