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Finding the Fourth Proportional to 90,231.84, 135,365.76 and 27,900

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Solution

The fourth proportional to 90,231.84, 135,365.76 and 27,900 is: 41,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,231.84 : 135,365.76 = 27,900 : x
  2. Step 2: Convert to fraction form
    90,231.84/135,365.76 = 27,900/x
  3. Step 3: Cross multiply
    90,231.84x = 135,365.76 × 27,900
  4. Step 4: Simplify right side
    90,231.84x = 3,776,704,704.00
  5. Step 5: Solve for x
    x = 3,776,704,704.00/90,231.84
  6. Step 6: Final answer
    x = 41,855.57

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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.