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Finding the Fourth Proportional to 75,286.80, 112,944.78 and 37,816.20

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Solution

The fourth proportional to 75,286.80, 112,944.78 and 37,816.20 is: 56,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.80 : 112,944.78 = 37,816.20 : x
  2. Step 2: Convert to fraction form
    75,286.80/112,944.78 = 37,816.20/x
  3. Step 3: Cross multiply
    75,286.80x = 112,944.78 × 37,816.20
  4. Step 4: Simplify right side
    75,286.80x = 4,271,142,389.44
  5. Step 5: Solve for x
    x = 4,271,142,389.44/75,286.80
  6. Step 6: Final answer
    x = 56,731.62

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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.