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Finding the Fourth Proportional to 135,878.31, 203,839.34 and 47,184.53

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Solution

The fourth proportional to 135,878.31, 203,839.34 and 47,184.53 is: 70,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,878.31 : 203,839.34 = 47,184.53 : x
  2. Step 2: Convert to fraction form
    135,878.31/203,839.34 = 47,184.53/x
  3. Step 3: Cross multiply
    135,878.31x = 203,839.34 × 47,184.53
  4. Step 4: Simplify right side
    135,878.31x = 9,618,062,198.29
  5. Step 5: Solve for x
    x = 9,618,062,198.29/135,878.31
  6. Step 6: Final answer
    x = 70,784.38

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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.