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Finding the Fourth Proportional to 138,638.78, 191,147.90 and 115,701.46

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Solution

The fourth proportional to 138,638.78, 191,147.90 and 115,701.46 is: 159,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.78 : 191,147.90 = 115,701.46 : x
  2. Step 2: Convert to fraction form
    138,638.78/191,147.90 = 115,701.46/x
  3. Step 3: Cross multiply
    138,638.78x = 191,147.90 × 115,701.46
  4. Step 4: Simplify right side
    138,638.78x = 22,116,091,105.93
  5. Step 5: Solve for x
    x = 22,116,091,105.93/138,638.78
  6. Step 6: Final answer
    x = 159,523.12

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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.