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Finding the Fourth Proportional to 206,308.08, 309,478.59 and 87,980.49

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Solution

The fourth proportional to 206,308.08, 309,478.59 and 87,980.49 is: 131,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,308.08 : 309,478.59 = 87,980.49 : x
  2. Step 2: Convert to fraction form
    206,308.08/309,478.59 = 87,980.49/x
  3. Step 3: Cross multiply
    206,308.08x = 309,478.59 × 87,980.49
  4. Step 4: Simplify right side
    206,308.08x = 27,228,077,992.71
  5. Step 5: Solve for x
    x = 27,228,077,992.71/206,308.08
  6. Step 6: Final answer
    x = 131,977.76

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