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Finding the Fourth Proportional to 65,742.32, 90,768.16 and 38,893.44

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Solution

The fourth proportional to 65,742.32, 90,768.16 and 38,893.44 is: 53,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.32 : 90,768.16 = 38,893.44 : x
  2. Step 2: Convert to fraction form
    65,742.32/90,768.16 = 38,893.44/x
  3. Step 3: Cross multiply
    65,742.32x = 90,768.16 × 38,893.44
  4. Step 4: Simplify right side
    65,742.32x = 3,530,285,984.87
  5. Step 5: Solve for x
    x = 3,530,285,984.87/65,742.32
  6. Step 6: Final answer
    x = 53,698.83

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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.