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Finding the Fourth Proportional to 209,098.92, 313,650 and 51,328.74

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Solution

The fourth proportional to 209,098.92, 313,650 and 51,328.74 is: 76,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,098.92 : 313,650 = 51,328.74 : x
  2. Step 2: Convert to fraction form
    209,098.92/313,650 = 51,328.74/x
  3. Step 3: Cross multiply
    209,098.92x = 313,650 × 51,328.74
  4. Step 4: Simplify right side
    209,098.92x = 16,099,259,301
  5. Step 5: Solve for x
    x = 16,099,259,301/209,098.92
  6. Step 6: Final answer
    x = 76,993.51

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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.