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Finding the Fourth Proportional to 138,552.92, 191,205.15 and 81,178.51

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Solution

The fourth proportional to 138,552.92, 191,205.15 and 81,178.51 is: 112,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,552.92 : 191,205.15 = 81,178.51 : x
  2. Step 2: Convert to fraction form
    138,552.92/191,205.15 = 81,178.51/x
  3. Step 3: Cross multiply
    138,552.92x = 191,205.15 × 81,178.51
  4. Step 4: Simplify right side
    138,552.92x = 15,521,749,181.33
  5. Step 5: Solve for x
    x = 15,521,749,181.33/138,552.92
  6. Step 6: Final answer
    x = 112,027.59

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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.