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Finding the Fourth Proportional to 149,578.92, 206,415.27 and 85,920.80

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Solution

The fourth proportional to 149,578.92, 206,415.27 and 85,920.80 is: 118,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,578.92 : 206,415.27 = 85,920.80 : x
  2. Step 2: Convert to fraction form
    149,578.92/206,415.27 = 85,920.80/x
  3. Step 3: Cross multiply
    149,578.92x = 206,415.27 × 85,920.80
  4. Step 4: Simplify right side
    149,578.92x = 17,735,364,098.54
  5. Step 5: Solve for x
    x = 17,735,364,098.54/149,578.92
  6. Step 6: Final answer
    x = 118,568.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.