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Finding the Fourth Proportional to 100,521.92, 150,778.83 and 25,643.90

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Solution

The fourth proportional to 100,521.92, 150,778.83 and 25,643.90 is: 38,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.92 : 150,778.83 = 25,643.90 : x
  2. Step 2: Convert to fraction form
    100,521.92/150,778.83 = 25,643.90/x
  3. Step 3: Cross multiply
    100,521.92x = 150,778.83 × 25,643.90
  4. Step 4: Simplify right side
    100,521.92x = 3,866,557,238.64
  5. Step 5: Solve for x
    x = 3,866,557,238.64/100,521.92
  6. Step 6: Final answer
    x = 38,464.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.