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Finding the Fourth Proportional to 76,767, 115,150.50 and 32,991

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Solution

The fourth proportional to 76,767, 115,150.50 and 32,991 is: 49,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767 : 115,150.50 = 32,991 : x
  2. Step 2: Convert to fraction form
    76,767/115,150.50 = 32,991/x
  3. Step 3: Cross multiply
    76,767x = 115,150.50 × 32,991
  4. Step 4: Simplify right side
    76,767x = 3,798,930,145.50
  5. Step 5: Solve for x
    x = 3,798,930,145.50/76,767
  6. Step 6: Final answer
    x = 49,486.50

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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.