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Finding the Fourth Proportional to 122,761.49, 184,141.49 and 31,576.75

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Solution

The fourth proportional to 122,761.49, 184,141.49 and 31,576.75 is: 47,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,761.49 : 184,141.49 = 31,576.75 : x
  2. Step 2: Convert to fraction form
    122,761.49/184,141.49 = 31,576.75/x
  3. Step 3: Cross multiply
    122,761.49x = 184,141.49 × 31,576.75
  4. Step 4: Simplify right side
    122,761.49x = 5,814,589,176.12
  5. Step 5: Solve for x
    x = 5,814,589,176.12/122,761.49
  6. Step 6: Final answer
    x = 47,364.93

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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.