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Finding the Fourth Proportional to 101,135.28, 151,653 and 30,997.68

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Solution

The fourth proportional to 101,135.28, 151,653 and 30,997.68 is: 46,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,135.28 : 151,653 = 30,997.68 : x
  2. Step 2: Convert to fraction form
    101,135.28/151,653 = 30,997.68/x
  3. Step 3: Cross multiply
    101,135.28x = 151,653 × 30,997.68
  4. Step 4: Simplify right side
    101,135.28x = 4,700,891,165.04
  5. Step 5: Solve for x
    x = 4,700,891,165.04/101,135.28
  6. Step 6: Final answer
    x = 46,481.22

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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.