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Finding the Fourth Proportional to 76,970.75, 115,361.78 and 43,718.78

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Solution

The fourth proportional to 76,970.75, 115,361.78 and 43,718.78 is: 65,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.75 : 115,361.78 = 43,718.78 : x
  2. Step 2: Convert to fraction form
    76,970.75/115,361.78 = 43,718.78/x
  3. Step 3: Cross multiply
    76,970.75x = 115,361.78 × 43,718.78
  4. Step 4: Simplify right side
    76,970.75x = 5,043,476,350.04
  5. Step 5: Solve for x
    x = 5,043,476,350.04/76,970.75
  6. Step 6: Final answer
    x = 65,524.59

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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.