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Finding the Fourth Proportional to 101,380.78, 152,079.06 and 30,298

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Solution

The fourth proportional to 101,380.78, 152,079.06 and 30,298 is: 45,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,380.78 : 152,079.06 = 30,298 : x
  2. Step 2: Convert to fraction form
    101,380.78/152,079.06 = 30,298/x
  3. Step 3: Cross multiply
    101,380.78x = 152,079.06 × 30,298
  4. Step 4: Simplify right side
    101,380.78x = 4,607,691,359.88
  5. Step 5: Solve for x
    x = 4,607,691,359.88/101,380.78
  6. Step 6: Final answer
    x = 45,449.36

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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.