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Finding the Fourth Proportional to 137,668.56, 189,965.70 and 81,069

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Solution

The fourth proportional to 137,668.56, 189,965.70 and 81,069 is: 111,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,668.56 : 189,965.70 = 81,069 : x
  2. Step 2: Convert to fraction form
    137,668.56/189,965.70 = 81,069/x
  3. Step 3: Cross multiply
    137,668.56x = 189,965.70 × 81,069
  4. Step 4: Simplify right side
    137,668.56x = 15,400,329,333.30
  5. Step 5: Solve for x
    x = 15,400,329,333.30/137,668.56
  6. Step 6: Final answer
    x = 111,865.26

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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.