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Finding the Fourth Proportional to 208,078.20, 312,117.30 and 206,109.90

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Solution

The fourth proportional to 208,078.20, 312,117.30 and 206,109.90 is: 309,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.20 : 312,117.30 = 206,109.90 : x
  2. Step 2: Convert to fraction form
    208,078.20/312,117.30 = 206,109.90/x
  3. Step 3: Cross multiply
    208,078.20x = 312,117.30 × 206,109.90
  4. Step 4: Simplify right side
    208,078.20x = 64,330,465,491.27
  5. Step 5: Solve for x
    x = 64,330,465,491.27/208,078.20
  6. Step 6: Final answer
    x = 309,164.85

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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.