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Finding the Fourth Proportional to 148,472, 204,892.44 and 81,404

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Solution

The fourth proportional to 148,472, 204,892.44 and 81,404 is: 112,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,472 : 204,892.44 = 81,404 : x
  2. Step 2: Convert to fraction form
    148,472/204,892.44 = 81,404/x
  3. Step 3: Cross multiply
    148,472x = 204,892.44 × 81,404
  4. Step 4: Simplify right side
    148,472x = 16,679,064,185.76
  5. Step 5: Solve for x
    x = 16,679,064,185.76/148,472
  6. Step 6: Final answer
    x = 112,338.11

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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.