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Finding the Fourth Proportional to 75,143.88, 112,772.93 and 27,803.79

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Solution

The fourth proportional to 75,143.88, 112,772.93 and 27,803.79 is: 41,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.88 : 112,772.93 = 27,803.79 : x
  2. Step 2: Convert to fraction form
    75,143.88/112,772.93 = 27,803.79/x
  3. Step 3: Cross multiply
    75,143.88x = 112,772.93 × 27,803.79
  4. Step 4: Simplify right side
    75,143.88x = 3,135,514,724.39
  5. Step 5: Solve for x
    x = 3,135,514,724.39/75,143.88
  6. Step 6: Final answer
    x = 41,726.81

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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.