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Finding the Fourth Proportional to 85,679.78, 118,238.09 and 47,954.03

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Solution

The fourth proportional to 85,679.78, 118,238.09 and 47,954.03 is: 66,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,679.78 : 118,238.09 = 47,954.03 : x
  2. Step 2: Convert to fraction form
    85,679.78/118,238.09 = 47,954.03/x
  3. Step 3: Cross multiply
    85,679.78x = 118,238.09 × 47,954.03
  4. Step 4: Simplify right side
    85,679.78x = 5,669,992,970.83
  5. Step 5: Solve for x
    x = 5,669,992,970.83/85,679.78
  6. Step 6: Final answer
    x = 66,176.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.