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Finding the Fourth Proportional to 82,646, 123,988.44 and 27,242

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Solution

The fourth proportional to 82,646, 123,988.44 and 27,242 is: 40,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646 : 123,988.44 = 27,242 : x
  2. Step 2: Convert to fraction form
    82,646/123,988.44 = 27,242/x
  3. Step 3: Cross multiply
    82,646x = 123,988.44 × 27,242
  4. Step 4: Simplify right side
    82,646x = 3,377,693,082.48
  5. Step 5: Solve for x
    x = 3,377,693,082.48/82,646
  6. Step 6: Final answer
    x = 40,869.41

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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.