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Finding the Fourth Proportional to 122,877, 184,344.75 and 39,771

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Solution

The fourth proportional to 122,877, 184,344.75 and 39,771 is: 59,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,877 : 184,344.75 = 39,771 : x
  2. Step 2: Convert to fraction form
    122,877/184,344.75 = 39,771/x
  3. Step 3: Cross multiply
    122,877x = 184,344.75 × 39,771
  4. Step 4: Simplify right side
    122,877x = 7,331,575,052.25
  5. Step 5: Solve for x
    x = 7,331,575,052.25/122,877
  6. Step 6: Final answer
    x = 59,665.97

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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.