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Finding the Fourth Proportional to 122,990.42, 169,668.78 and 71,971.58

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Solution

The fourth proportional to 122,990.42, 169,668.78 and 71,971.58 is: 99,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,990.42 : 169,668.78 = 71,971.58 : x
  2. Step 2: Convert to fraction form
    122,990.42/169,668.78 = 71,971.58/x
  3. Step 3: Cross multiply
    122,990.42x = 169,668.78 × 71,971.58
  4. Step 4: Simplify right side
    122,990.42x = 12,211,330,173.27
  5. Step 5: Solve for x
    x = 12,211,330,173.27/122,990.42
  6. Step 6: Final answer
    x = 99,286.84

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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.