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Finding the Fourth Proportional to 92,343, 138,344.40 and 82,380.81

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Solution

The fourth proportional to 92,343, 138,344.40 and 82,380.81 is: 123,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,343 : 138,344.40 = 82,380.81 : x
  2. Step 2: Convert to fraction form
    92,343/138,344.40 = 82,380.81/x
  3. Step 3: Cross multiply
    92,343x = 138,344.40 × 82,380.81
  4. Step 4: Simplify right side
    92,343x = 11,396,923,730.96
  5. Step 5: Solve for x
    x = 11,396,923,730.96/92,343
  6. Step 6: Final answer
    x = 123,419.47

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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.