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Finding the Fourth Proportional to 99,231, 136,940.94 and 54,519

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Solution

The fourth proportional to 99,231, 136,940.94 and 54,519 is: 75,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,231 : 136,940.94 = 54,519 : x
  2. Step 2: Convert to fraction form
    99,231/136,940.94 = 54,519/x
  3. Step 3: Cross multiply
    99,231x = 136,940.94 × 54,519
  4. Step 4: Simplify right side
    99,231x = 7,465,883,107.86
  5. Step 5: Solve for x
    x = 7,465,883,107.86/99,231
  6. Step 6: Final answer
    x = 75,237.41

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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.