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Finding the Fourth Proportional to 206,120.76, 309,298.14 and 87,779.76

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Solution

The fourth proportional to 206,120.76, 309,298.14 and 87,779.76 is: 131,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120.76 : 309,298.14 = 87,779.76 : x
  2. Step 2: Convert to fraction form
    206,120.76/309,298.14 = 87,779.76/x
  3. Step 3: Cross multiply
    206,120.76x = 309,298.14 × 87,779.76
  4. Step 4: Simplify right side
    206,120.76x = 27,150,116,497.65
  5. Step 5: Solve for x
    x = 27,150,116,497.65/206,120.76
  6. Step 6: Final answer
    x = 131,719.47

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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.