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Finding the Fourth Proportional to 206,499.58, 285,069.55 and 138,491.68

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Solution

The fourth proportional to 206,499.58, 285,069.55 and 138,491.68 is: 191,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,499.58 : 285,069.55 = 138,491.68 : x
  2. Step 2: Convert to fraction form
    206,499.58/285,069.55 = 138,491.68/x
  3. Step 3: Cross multiply
    206,499.58x = 285,069.55 × 138,491.68
  4. Step 4: Simplify right side
    206,499.58x = 39,479,760,896.34
  5. Step 5: Solve for x
    x = 39,479,760,896.34/206,499.58
  6. Step 6: Final answer
    x = 191,185.67

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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.