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Finding the Fourth Proportional to 100,841.82, 151,262.73 and 30,721.14

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Solution

The fourth proportional to 100,841.82, 151,262.73 and 30,721.14 is: 46,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,841.82 : 151,262.73 = 30,721.14 : x
  2. Step 2: Convert to fraction form
    100,841.82/151,262.73 = 30,721.14/x
  3. Step 3: Cross multiply
    100,841.82x = 151,262.73 × 30,721.14
  4. Step 4: Simplify right side
    100,841.82x = 4,646,963,505.11
  5. Step 5: Solve for x
    x = 4,646,963,505.11/100,841.82
  6. Step 6: Final answer
    x = 46,081.71

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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.