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Finding the Fourth Proportional to 138,954.29, 191,760.44 and 85,268.93

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Solution

The fourth proportional to 138,954.29, 191,760.44 and 85,268.93 is: 117,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,954.29 : 191,760.44 = 85,268.93 : x
  2. Step 2: Convert to fraction form
    138,954.29/191,760.44 = 85,268.93/x
  3. Step 3: Cross multiply
    138,954.29x = 191,760.44 × 85,268.93
  4. Step 4: Simplify right side
    138,954.29x = 16,351,206,149.98
  5. Step 5: Solve for x
    x = 16,351,206,149.98/138,954.29
  6. Step 6: Final answer
    x = 117,673.28

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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.