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Finding the Fourth Proportional to 136,407.72, 188,252.11 and 82,695

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Solution

The fourth proportional to 136,407.72, 188,252.11 and 82,695 is: 114,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407.72 : 188,252.11 = 82,695 : x
  2. Step 2: Convert to fraction form
    136,407.72/188,252.11 = 82,695/x
  3. Step 3: Cross multiply
    136,407.72x = 188,252.11 × 82,695
  4. Step 4: Simplify right side
    136,407.72x = 15,567,508,236.45
  5. Step 5: Solve for x
    x = 15,567,508,236.45/136,407.72
  6. Step 6: Final answer
    x = 114,124.83

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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.