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Finding the Fourth Proportional to 81,668.76, 122,445.22 and 31,706.74

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Solution

The fourth proportional to 81,668.76, 122,445.22 and 31,706.74 is: 47,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,668.76 : 122,445.22 = 31,706.74 : x
  2. Step 2: Convert to fraction form
    81,668.76/122,445.22 = 31,706.74/x
  3. Step 3: Cross multiply
    81,668.76x = 122,445.22 × 31,706.74
  4. Step 4: Simplify right side
    81,668.76x = 3,882,338,888.02
  5. Step 5: Solve for x
    x = 3,882,338,888.02/81,668.76
  6. Step 6: Final answer
    x = 47,537.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.