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Finding the Fourth Proportional to 32,138.64, 48,203.20 and 18,817.78

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Solution

The fourth proportional to 32,138.64, 48,203.20 and 18,817.78 is: 28,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.64 : 48,203.20 = 18,817.78 : x
  2. Step 2: Convert to fraction form
    32,138.64/48,203.20 = 18,817.78/x
  3. Step 3: Cross multiply
    32,138.64x = 48,203.20 × 18,817.78
  4. Step 4: Simplify right side
    32,138.64x = 907,077,212.90
  5. Step 5: Solve for x
    x = 907,077,212.90/32,138.64
  6. Step 6: Final answer
    x = 28,223.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.