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Finding the Fourth Proportional to 76,767.04, 115,150.56 and 43,912

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Solution

The fourth proportional to 76,767.04, 115,150.56 and 43,912 is: 65,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.04 : 115,150.56 = 43,912 : x
  2. Step 2: Convert to fraction form
    76,767.04/115,150.56 = 43,912/x
  3. Step 3: Cross multiply
    76,767.04x = 115,150.56 × 43,912
  4. Step 4: Simplify right side
    76,767.04x = 5,056,491,390.72
  5. Step 5: Solve for x
    x = 5,056,491,390.72/76,767.04
  6. Step 6: Final answer
    x = 65,868.00

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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.