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Finding the Fourth Proportional to 122,881.86, 169,629.26 and 82,618.92

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Solution

The fourth proportional to 122,881.86, 169,629.26 and 82,618.92 is: 114,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,881.86 : 169,629.26 = 82,618.92 : x
  2. Step 2: Convert to fraction form
    122,881.86/169,629.26 = 82,618.92/x
  3. Step 3: Cross multiply
    122,881.86x = 169,629.26 × 82,618.92
  4. Step 4: Simplify right side
    122,881.86x = 14,014,585,848.50
  5. Step 5: Solve for x
    x = 14,014,585,848.50/122,881.86
  6. Step 6: Final answer
    x = 114,049.27

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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.