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Finding the Fourth Proportional to 75,874.20, 113,811.30 and 36,421.80

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Solution

The fourth proportional to 75,874.20, 113,811.30 and 36,421.80 is: 54,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.20 : 113,811.30 = 36,421.80 : x
  2. Step 2: Convert to fraction form
    75,874.20/113,811.30 = 36,421.80/x
  3. Step 3: Cross multiply
    75,874.20x = 113,811.30 × 36,421.80
  4. Step 4: Simplify right side
    75,874.20x = 4,145,212,406.34
  5. Step 5: Solve for x
    x = 4,145,212,406.34/75,874.20
  6. Step 6: Final answer
    x = 54,632.70

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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.