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Finding the Fourth Proportional to 135,992.80, 204,056.04 and 61,165.80

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Solution

The fourth proportional to 135,992.80, 204,056.04 and 61,165.80 is: 91,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,992.80 : 204,056.04 = 61,165.80 : x
  2. Step 2: Convert to fraction form
    135,992.80/204,056.04 = 61,165.80/x
  3. Step 3: Cross multiply
    135,992.80x = 204,056.04 × 61,165.80
  4. Step 4: Simplify right side
    135,992.80x = 12,481,250,931.43
  5. Step 5: Solve for x
    x = 12,481,250,931.43/135,992.80
  6. Step 6: Final answer
    x = 91,778.76

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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.