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Finding the Fourth Proportional to 75,288, 112,934.34 and 27,914.88

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Solution

The fourth proportional to 75,288, 112,934.34 and 27,914.88 is: 41,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288 : 112,934.34 = 27,914.88 : x
  2. Step 2: Convert to fraction form
    75,288/112,934.34 = 27,914.88/x
  3. Step 3: Cross multiply
    75,288x = 112,934.34 × 27,914.88
  4. Step 4: Simplify right side
    75,288x = 3,152,548,548.98
  5. Step 5: Solve for x
    x = 3,152,548,548.98/75,288
  6. Step 6: Final answer
    x = 41,873.19

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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.