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Finding the Fourth Proportional to 32,755.36, 45,200 and 20,180.32

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Solution

The fourth proportional to 32,755.36, 45,200 and 20,180.32 is: 27,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.36 : 45,200 = 20,180.32 : x
  2. Step 2: Convert to fraction form
    32,755.36/45,200 = 20,180.32/x
  3. Step 3: Cross multiply
    32,755.36x = 45,200 × 20,180.32
  4. Step 4: Simplify right side
    32,755.36x = 912,150,464
  5. Step 5: Solve for x
    x = 912,150,464/32,755.36
  6. Step 6: Final answer
    x = 27,847.36

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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.