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Finding the Fourth Proportional to 135,892.50, 203,874.90 and 47,145.90

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Solution

The fourth proportional to 135,892.50, 203,874.90 and 47,145.90 is: 70,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,892.50 : 203,874.90 = 47,145.90 : x
  2. Step 2: Convert to fraction form
    135,892.50/203,874.90 = 47,145.90/x
  3. Step 3: Cross multiply
    135,892.50x = 203,874.90 × 47,145.90
  4. Step 4: Simplify right side
    135,892.50x = 9,611,865,647.91
  5. Step 5: Solve for x
    x = 9,611,865,647.91/135,892.50
  6. Step 6: Final answer
    x = 70,731.39

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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.