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Finding the Fourth Proportional to 138,717.65, 191,409.82 and 84,241.48

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Solution

The fourth proportional to 138,717.65, 191,409.82 and 84,241.48 is: 116,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,717.65 : 191,409.82 = 84,241.48 : x
  2. Step 2: Convert to fraction form
    138,717.65/191,409.82 = 84,241.48/x
  3. Step 3: Cross multiply
    138,717.65x = 191,409.82 × 84,241.48
  4. Step 4: Simplify right side
    138,717.65x = 16,124,646,867.90
  5. Step 5: Solve for x
    x = 16,124,646,867.90/138,717.65
  6. Step 6: Final answer
    x = 116,240.78

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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.