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Finding the Fourth Proportional to 99,227, 136,933.26 and 54,515

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Solution

The fourth proportional to 99,227, 136,933.26 and 54,515 is: 75,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,227 : 136,933.26 = 54,515 : x
  2. Step 2: Convert to fraction form
    99,227/136,933.26 = 54,515/x
  3. Step 3: Cross multiply
    99,227x = 136,933.26 × 54,515
  4. Step 4: Simplify right side
    99,227x = 7,464,916,668.90
  5. Step 5: Solve for x
    x = 7,464,916,668.90/99,227
  6. Step 6: Final answer
    x = 75,230.70

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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.