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Finding the Fourth Proportional to 208,508.31, 312,786.72 and 75,451.23

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Solution

The fourth proportional to 208,508.31, 312,786.72 and 75,451.23 is: 113,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,508.31 : 312,786.72 = 75,451.23 : x
  2. Step 2: Convert to fraction form
    208,508.31/312,786.72 = 75,451.23/x
  3. Step 3: Cross multiply
    208,508.31x = 312,786.72 × 75,451.23
  4. Step 4: Simplify right side
    208,508.31x = 23,600,142,751.67
  5. Step 5: Solve for x
    x = 23,600,142,751.67/208,508.31
  6. Step 6: Final answer
    x = 113,185.62

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1.5x scale

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.