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Finding the Fourth Proportional to 100,523.43, 151,491.13 and 90,540.69

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Solution

The fourth proportional to 100,523.43, 151,491.13 and 90,540.69 is: 136,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,523.43 : 151,491.13 = 90,540.69 : x
  2. Step 2: Convert to fraction form
    100,523.43/151,491.13 = 90,540.69/x
  3. Step 3: Cross multiply
    100,523.43x = 151,491.13 × 90,540.69
  4. Step 4: Simplify right side
    100,523.43x = 13,716,111,439.08
  5. Step 5: Solve for x
    x = 13,716,111,439.08/100,523.43
  6. Step 6: Final answer
    x = 136,446.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.