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Finding the Fourth Proportional to 82,602, 123,903 and 27,202.32

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Solution

The fourth proportional to 82,602, 123,903 and 27,202.32 is: 40,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602 : 123,903 = 27,202.32 : x
  2. Step 2: Convert to fraction form
    82,602/123,903 = 27,202.32/x
  3. Step 3: Cross multiply
    82,602x = 123,903 × 27,202.32
  4. Step 4: Simplify right side
    82,602x = 3,370,449,054.96
  5. Step 5: Solve for x
    x = 3,370,449,054.96/82,602
  6. Step 6: Final answer
    x = 40,803.48

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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.