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Finding the Fourth Proportional to 65,414.92, 90,271.36 and 36,734.80

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Solution

The fourth proportional to 65,414.92, 90,271.36 and 36,734.80 is: 50,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.92 : 90,271.36 = 36,734.80 : x
  2. Step 2: Convert to fraction form
    65,414.92/90,271.36 = 36,734.80/x
  3. Step 3: Cross multiply
    65,414.92x = 90,271.36 × 36,734.80
  4. Step 4: Simplify right side
    65,414.92x = 3,316,100,355.33
  5. Step 5: Solve for x
    x = 3,316,100,355.33/65,414.92
  6. Step 6: Final answer
    x = 50,693.33

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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.