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Finding the Fourth Proportional to 100,722.84, 151,086 and 34,164.69

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Solution

The fourth proportional to 100,722.84, 151,086 and 34,164.69 is: 51,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,722.84 : 151,086 = 34,164.69 : x
  2. Step 2: Convert to fraction form
    100,722.84/151,086 = 34,164.69/x
  3. Step 3: Cross multiply
    100,722.84x = 151,086 × 34,164.69
  4. Step 4: Simplify right side
    100,722.84x = 5,161,806,353.34
  5. Step 5: Solve for x
    x = 5,161,806,353.34/100,722.84
  6. Step 6: Final answer
    x = 51,247.63

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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.