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Finding the Fourth Proportional to 226,077, 312,000.84 and 125,475

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Solution

The fourth proportional to 226,077, 312,000.84 and 125,475 is: 173,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,077 : 312,000.84 = 125,475 : x
  2. Step 2: Convert to fraction form
    226,077/312,000.84 = 125,475/x
  3. Step 3: Cross multiply
    226,077x = 312,000.84 × 125,475
  4. Step 4: Simplify right side
    226,077x = 39,148,305,399
  5. Step 5: Solve for x
    x = 39,148,305,399/226,077
  6. Step 6: Final answer
    x = 173,163.59

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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.