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Finding the Fourth Proportional to 110,257.53, 152,198.67 and 78,159.92

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Solution

The fourth proportional to 110,257.53, 152,198.67 and 78,159.92 is: 107,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,257.53 : 152,198.67 = 78,159.92 : x
  2. Step 2: Convert to fraction form
    110,257.53/152,198.67 = 78,159.92/x
  3. Step 3: Cross multiply
    110,257.53x = 152,198.67 × 78,159.92
  4. Step 4: Simplify right side
    110,257.53x = 11,895,835,110.31
  5. Step 5: Solve for x
    x = 11,895,835,110.31/110,257.53
  6. Step 6: Final answer
    x = 107,891.36

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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.