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Finding the Fourth Proportional to 76,738.50, 115,107.84 and 21,334.50

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Solution

The fourth proportional to 76,738.50, 115,107.84 and 21,334.50 is: 32,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.50 : 115,107.84 = 21,334.50 : x
  2. Step 2: Convert to fraction form
    76,738.50/115,107.84 = 21,334.50/x
  3. Step 3: Cross multiply
    76,738.50x = 115,107.84 × 21,334.50
  4. Step 4: Simplify right side
    76,738.50x = 2,455,768,212.48
  5. Step 5: Solve for x
    x = 2,455,768,212.48/76,738.50
  6. Step 6: Final answer
    x = 32,001.78

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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.