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Finding the Fourth Proportional to 90,193.52, 135,115.32 and 66,458

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Solution

The fourth proportional to 90,193.52, 135,115.32 and 66,458 is: 99,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,193.52 : 135,115.32 = 66,458 : x
  2. Step 2: Convert to fraction form
    90,193.52/135,115.32 = 66,458/x
  3. Step 3: Cross multiply
    90,193.52x = 135,115.32 × 66,458
  4. Step 4: Simplify right side
    90,193.52x = 8,979,493,936.56
  5. Step 5: Solve for x
    x = 8,979,493,936.56/90,193.52
  6. Step 6: Final answer
    x = 99,558.08

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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.