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Finding the Fourth Proportional to 122,995.78, 169,667.85 and 82,230.10

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Solution

The fourth proportional to 122,995.78, 169,667.85 and 82,230.10 is: 113,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,995.78 : 169,667.85 = 82,230.10 : x
  2. Step 2: Convert to fraction form
    122,995.78/169,667.85 = 82,230.10/x
  3. Step 3: Cross multiply
    122,995.78x = 169,667.85 × 82,230.10
  4. Step 4: Simplify right side
    122,995.78x = 13,951,804,272.29
  5. Step 5: Solve for x
    x = 13,951,804,272.29/122,995.78
  6. Step 6: Final answer
    x = 113,433.19

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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.