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Finding the Fourth Proportional to 90,212.64, 135,331.92 and 27,888

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Solution

The fourth proportional to 90,212.64, 135,331.92 and 27,888 is: 41,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,212.64 : 135,331.92 = 27,888 : x
  2. Step 2: Convert to fraction form
    90,212.64/135,331.92 = 27,888/x
  3. Step 3: Cross multiply
    90,212.64x = 135,331.92 × 27,888
  4. Step 4: Simplify right side
    90,212.64x = 3,774,136,584.96
  5. Step 5: Solve for x
    x = 3,774,136,584.96/90,212.64
  6. Step 6: Final answer
    x = 41,836.01

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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.