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Finding the Fourth Proportional to 286,059.24, 428,991.66 and 99,027

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Solution

The fourth proportional to 286,059.24, 428,991.66 and 99,027 is: 148,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,059.24 : 428,991.66 = 99,027 : x
  2. Step 2: Convert to fraction form
    286,059.24/428,991.66 = 99,027/x
  3. Step 3: Cross multiply
    286,059.24x = 428,991.66 × 99,027
  4. Step 4: Simplify right side
    286,059.24x = 42,481,757,114.82
  5. Step 5: Solve for x
    x = 42,481,757,114.82/286,059.24
  6. Step 6: Final answer
    x = 148,506.85

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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.