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Finding the Fourth Proportional to 76,305.20, 114,425.40 and 36,874.40

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Solution

The fourth proportional to 76,305.20, 114,425.40 and 36,874.40 is: 55,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.20 : 114,425.40 = 36,874.40 : x
  2. Step 2: Convert to fraction form
    76,305.20/114,425.40 = 36,874.40/x
  3. Step 3: Cross multiply
    76,305.20x = 114,425.40 × 36,874.40
  4. Step 4: Simplify right side
    76,305.20x = 4,219,367,969.76
  5. Step 5: Solve for x
    x = 4,219,367,969.76/76,305.20
  6. Step 6: Final answer
    x = 55,295.94

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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.