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Finding the Fourth Proportional to 75,377.40, 112,994.10 and 27,979.80

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Solution

The fourth proportional to 75,377.40, 112,994.10 and 27,979.80 is: 41,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.40 : 112,994.10 = 27,979.80 : x
  2. Step 2: Convert to fraction form
    75,377.40/112,994.10 = 27,979.80/x
  3. Step 3: Cross multiply
    75,377.40x = 112,994.10 × 27,979.80
  4. Step 4: Simplify right side
    75,377.40x = 3,161,552,319.18
  5. Step 5: Solve for x
    x = 3,161,552,319.18/75,377.40
  6. Step 6: Final answer
    x = 41,942.97

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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.