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Finding the Fourth Proportional to 122,761.31, 184,145.67 and 47,878.43

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Solution

The fourth proportional to 122,761.31, 184,145.67 and 47,878.43 is: 71,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,761.31 : 184,145.67 = 47,878.43 : x
  2. Step 2: Convert to fraction form
    122,761.31/184,145.67 = 47,878.43/x
  3. Step 3: Cross multiply
    122,761.31x = 184,145.67 × 47,878.43
  4. Step 4: Simplify right side
    122,761.31x = 8,816,604,650.17
  5. Step 5: Solve for x
    x = 8,816,604,650.17/122,761.31
  6. Step 6: Final answer
    x = 71,819.09

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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.