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Finding the Fourth Proportional to 39,236, 54,146.22 and 22,469

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Solution

The fourth proportional to 39,236, 54,146.22 and 22,469 is: 31,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,236 : 54,146.22 = 22,469 : x
  2. Step 2: Convert to fraction form
    39,236/54,146.22 = 22,469/x
  3. Step 3: Cross multiply
    39,236x = 54,146.22 × 22,469
  4. Step 4: Simplify right side
    39,236x = 1,216,611,417.18
  5. Step 5: Solve for x
    x = 1,216,611,417.18/39,236
  6. Step 6: Final answer
    x = 31,007.53

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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.