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Finding the Fourth Proportional to 100,818.71, 151,249.97 and 30,696.20

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Solution

The fourth proportional to 100,818.71, 151,249.97 and 30,696.20 is: 46,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,818.71 : 151,249.97 = 30,696.20 : x
  2. Step 2: Convert to fraction form
    100,818.71/151,249.97 = 30,696.20/x
  3. Step 3: Cross multiply
    100,818.71x = 151,249.97 × 30,696.20
  4. Step 4: Simplify right side
    100,818.71x = 4,642,799,329.11
  5. Step 5: Solve for x
    x = 4,642,799,329.11/100,818.71
  6. Step 6: Final answer
    x = 46,050.97

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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.