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Finding the Fourth Proportional to 100,820.75, 151,231.13 and 35,156.75

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Solution

The fourth proportional to 100,820.75, 151,231.13 and 35,156.75 is: 52,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,820.75 : 151,231.13 = 35,156.75 : x
  2. Step 2: Convert to fraction form
    100,820.75/151,231.13 = 35,156.75/x
  3. Step 3: Cross multiply
    100,820.75x = 151,231.13 × 35,156.75
  4. Step 4: Simplify right side
    100,820.75x = 5,316,795,029.63
  5. Step 5: Solve for x
    x = 5,316,795,029.63/100,820.75
  6. Step 6: Final answer
    x = 52,735.13

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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.