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Finding the Fourth Proportional to 312,010.93, 468,016.38 and 87,404.62

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Solution

The fourth proportional to 312,010.93, 468,016.38 and 87,404.62 is: 131,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,010.93 : 468,016.38 = 87,404.62 : x
  2. Step 2: Convert to fraction form
    312,010.93/468,016.38 = 87,404.62/x
  3. Step 3: Cross multiply
    312,010.93x = 468,016.38 × 87,404.62
  4. Step 4: Simplify right side
    312,010.93x = 40,906,793,847.68
  5. Step 5: Solve for x
    x = 40,906,793,847.68/312,010.93
  6. Step 6: Final answer
    x = 131,106.93

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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.