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Finding the Fourth Proportional to 135,772.20, 203,731.20 and 56,894.40

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Solution

The fourth proportional to 135,772.20, 203,731.20 and 56,894.40 is: 85,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,772.20 : 203,731.20 = 56,894.40 : x
  2. Step 2: Convert to fraction form
    135,772.20/203,731.20 = 56,894.40/x
  3. Step 3: Cross multiply
    135,772.20x = 203,731.20 × 56,894.40
  4. Step 4: Simplify right side
    135,772.20x = 11,591,164,385.28
  5. Step 5: Solve for x
    x = 11,591,164,385.28/135,772.20
  6. Step 6: Final answer
    x = 85,372.15

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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.