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Finding the Fourth Proportional to 122,520.48, 169,142.48 and 82,444.96

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Solution

The fourth proportional to 122,520.48, 169,142.48 and 82,444.96 is: 113,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,520.48 : 169,142.48 = 82,444.96 : x
  2. Step 2: Convert to fraction form
    122,520.48/169,142.48 = 82,444.96/x
  3. Step 3: Cross multiply
    122,520.48x = 169,142.48 × 82,444.96
  4. Step 4: Simplify right side
    122,520.48x = 13,944,944,997.90
  5. Step 5: Solve for x
    x = 13,944,944,997.90/122,520.48
  6. Step 6: Final answer
    x = 113,817.26

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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.