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Finding the Fourth Proportional to 76,404.71, 114,634.41 and 38,974.21

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Solution

The fourth proportional to 76,404.71, 114,634.41 and 38,974.21 is: 58,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404.71 : 114,634.41 = 38,974.21 : x
  2. Step 2: Convert to fraction form
    76,404.71/114,634.41 = 38,974.21/x
  3. Step 3: Cross multiply
    76,404.71x = 114,634.41 × 38,974.21
  4. Step 4: Simplify right side
    76,404.71x = 4,467,784,800.52
  5. Step 5: Solve for x
    x = 4,467,784,800.52/76,404.71
  6. Step 6: Final answer
    x = 58,475.25

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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.