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Finding the Fourth Proportional to 122,893.56, 169,617.42 and 71,911.80

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Solution

The fourth proportional to 122,893.56, 169,617.42 and 71,911.80 is: 99,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,893.56 : 169,617.42 = 71,911.80 : x
  2. Step 2: Convert to fraction form
    122,893.56/169,617.42 = 71,911.80/x
  3. Step 3: Cross multiply
    122,893.56x = 169,617.42 × 71,911.80
  4. Step 4: Simplify right side
    122,893.56x = 12,197,493,983.56
  5. Step 5: Solve for x
    x = 12,197,493,983.56/122,893.56
  6. Step 6: Final answer
    x = 99,252.51

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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.