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Finding the Fourth Proportional to 138,162.88, 190,664.78 and 78,546.88

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Solution

The fourth proportional to 138,162.88, 190,664.78 and 78,546.88 is: 108,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.88 : 190,664.78 = 78,546.88 : x
  2. Step 2: Convert to fraction form
    138,162.88/190,664.78 = 78,546.88/x
  3. Step 3: Cross multiply
    138,162.88x = 190,664.78 × 78,546.88
  4. Step 4: Simplify right side
    138,162.88x = 14,976,122,248.83
  5. Step 5: Solve for x
    x = 14,976,122,248.83/138,162.88
  6. Step 6: Final answer
    x = 108,394.69

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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.