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Finding the Fourth Proportional to 100,396, 150,563.28 and 33,818.28

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Solution

The fourth proportional to 100,396, 150,563.28 and 33,818.28 is: 50,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396 : 150,563.28 = 33,818.28 : x
  2. Step 2: Convert to fraction form
    100,396/150,563.28 = 33,818.28/x
  3. Step 3: Cross multiply
    100,396x = 150,563.28 × 33,818.28
  4. Step 4: Simplify right side
    100,396x = 5,091,791,160.76
  5. Step 5: Solve for x
    x = 5,091,791,160.76/100,396
  6. Step 6: Final answer
    x = 50,717.07

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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.