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Finding the Fourth Proportional to 138,589.56, 191,240.16 and 78,169.68

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Solution

The fourth proportional to 138,589.56, 191,240.16 and 78,169.68 is: 107,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,589.56 : 191,240.16 = 78,169.68 : x
  2. Step 2: Convert to fraction form
    138,589.56/191,240.16 = 78,169.68/x
  3. Step 3: Cross multiply
    138,589.56x = 191,240.16 × 78,169.68
  4. Step 4: Simplify right side
    138,589.56x = 14,949,182,110.35
  5. Step 5: Solve for x
    x = 14,949,182,110.35/138,589.56
  6. Step 6: Final answer
    x = 107,866.58

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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.