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Finding the Fourth Proportional to 100,486, 150,623.28 and 33,902.80

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Solution

The fourth proportional to 100,486, 150,623.28 and 33,902.80 is: 50,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,486 : 150,623.28 = 33,902.80 : x
  2. Step 2: Convert to fraction form
    100,486/150,623.28 = 33,902.80/x
  3. Step 3: Cross multiply
    100,486x = 150,623.28 × 33,902.80
  4. Step 4: Simplify right side
    100,486x = 5,106,550,937.18
  5. Step 5: Solve for x
    x = 5,106,550,937.18/100,486
  6. Step 6: Final answer
    x = 50,818.53

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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.