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Finding the Fourth Proportional to 65,072.52, 89,801.64 and 36,778.32

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Solution

The fourth proportional to 65,072.52, 89,801.64 and 36,778.32 is: 50,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.52 : 89,801.64 = 36,778.32 : x
  2. Step 2: Convert to fraction form
    65,072.52/89,801.64 = 36,778.32/x
  3. Step 3: Cross multiply
    65,072.52x = 89,801.64 × 36,778.32
  4. Step 4: Simplify right side
    65,072.52x = 3,302,753,452.44
  5. Step 5: Solve for x
    x = 3,302,753,452.44/65,072.52
  6. Step 6: Final answer
    x = 50,754.96

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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.