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Finding the Fourth Proportional to 90,207.64, 135,324.42 and 27,883

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Solution

The fourth proportional to 90,207.64, 135,324.42 and 27,883 is: 41,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,207.64 : 135,324.42 = 27,883 : x
  2. Step 2: Convert to fraction form
    90,207.64/135,324.42 = 27,883/x
  3. Step 3: Cross multiply
    90,207.64x = 135,324.42 × 27,883
  4. Step 4: Simplify right side
    90,207.64x = 3,773,250,802.86
  5. Step 5: Solve for x
    x = 3,773,250,802.86/90,207.64
  6. Step 6: Final answer
    x = 41,828.51

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1.5x scale

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.