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Finding the Fourth Proportional to 100,815.75, 151,223.63 and 35,151.75

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Solution

The fourth proportional to 100,815.75, 151,223.63 and 35,151.75 is: 52,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,815.75 : 151,223.63 = 35,151.75 : x
  2. Step 2: Convert to fraction form
    100,815.75/151,223.63 = 35,151.75/x
  3. Step 3: Cross multiply
    100,815.75x = 151,223.63 × 35,151.75
  4. Step 4: Simplify right side
    100,815.75x = 5,315,775,060.09
  5. Step 5: Solve for x
    x = 5,315,775,060.09/100,815.75
  6. Step 6: Final answer
    x = 52,727.63

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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.