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Finding the Fourth Proportional to 100,867.78, 151,324.13 and 30,752.56

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Solution

The fourth proportional to 100,867.78, 151,324.13 and 30,752.56 is: 46,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867.78 : 151,324.13 = 30,752.56 : x
  2. Step 2: Convert to fraction form
    100,867.78/151,324.13 = 30,752.56/x
  3. Step 3: Cross multiply
    100,867.78x = 151,324.13 × 30,752.56
  4. Step 4: Simplify right side
    100,867.78x = 4,653,604,387.27
  5. Step 5: Solve for x
    x = 4,653,604,387.27/100,867.78
  6. Step 6: Final answer
    x = 46,135.69

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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.