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Finding the Fourth Proportional to 90,234.64, 135,364.92 and 27,910

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Solution

The fourth proportional to 90,234.64, 135,364.92 and 27,910 is: 41,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,234.64 : 135,364.92 = 27,910 : x
  2. Step 2: Convert to fraction form
    90,234.64/135,364.92 = 27,910/x
  3. Step 3: Cross multiply
    90,234.64x = 135,364.92 × 27,910
  4. Step 4: Simplify right side
    90,234.64x = 3,778,034,917.20
  5. Step 5: Solve for x
    x = 3,778,034,917.20/90,234.64
  6. Step 6: Final answer
    x = 41,869.01

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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.