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Finding the Fourth Proportional to 82,605.30, 123,912.64 and 23,436.32

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Solution

The fourth proportional to 82,605.30, 123,912.64 and 23,436.32 is: 35,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.30 : 123,912.64 = 23,436.32 : x
  2. Step 2: Convert to fraction form
    82,605.30/123,912.64 = 23,436.32/x
  3. Step 3: Cross multiply
    82,605.30x = 123,912.64 × 23,436.32
  4. Step 4: Simplify right side
    82,605.30x = 2,904,056,283.08
  5. Step 5: Solve for x
    x = 2,904,056,283.08/82,605.30
  6. Step 6: Final answer
    x = 35,155.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.