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Finding the Fourth Proportional to 138,930.72, 191,638.08 and 82,302

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Solution

The fourth proportional to 138,930.72, 191,638.08 and 82,302 is: 113,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,930.72 : 191,638.08 = 82,302 : x
  2. Step 2: Convert to fraction form
    138,930.72/191,638.08 = 82,302/x
  3. Step 3: Cross multiply
    138,930.72x = 191,638.08 × 82,302
  4. Step 4: Simplify right side
    138,930.72x = 15,772,197,260.16
  5. Step 5: Solve for x
    x = 15,772,197,260.16/138,930.72
  6. Step 6: Final answer
    x = 113,525.63

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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.