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Finding the Fourth Proportional to 86,523.80, 129,629.72 and 81,312.96

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Solution

The fourth proportional to 86,523.80, 129,629.72 and 81,312.96 is: 121,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,523.80 : 129,629.72 = 81,312.96 : x
  2. Step 2: Convert to fraction form
    86,523.80/129,629.72 = 81,312.96/x
  3. Step 3: Cross multiply
    86,523.80x = 129,629.72 × 81,312.96
  4. Step 4: Simplify right side
    86,523.80x = 10,540,576,469.18
  5. Step 5: Solve for x
    x = 10,540,576,469.18/86,523.80
  6. Step 6: Final answer
    x = 121,822.86

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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.