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Finding the Fourth Proportional to 76,296.20, 114,411.90 and 36,865.40

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Solution

The fourth proportional to 76,296.20, 114,411.90 and 36,865.40 is: 55,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296.20 : 114,411.90 = 36,865.40 : x
  2. Step 2: Convert to fraction form
    76,296.20/114,411.90 = 36,865.40/x
  3. Step 3: Cross multiply
    76,296.20x = 114,411.90 × 36,865.40
  4. Step 4: Simplify right side
    76,296.20x = 4,217,840,458.26
  5. Step 5: Solve for x
    x = 4,217,840,458.26/76,296.20
  6. Step 6: Final answer
    x = 55,282.44

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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.