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Finding the Fourth Proportional to 90,298, 124,611 and 50,014.96

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Solution

The fourth proportional to 90,298, 124,611 and 50,014.96 is: 69,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,298 : 124,611 = 50,014.96 : x
  2. Step 2: Convert to fraction form
    90,298/124,611 = 50,014.96/x
  3. Step 3: Cross multiply
    90,298x = 124,611 × 50,014.96
  4. Step 4: Simplify right side
    90,298x = 6,232,414,180.56
  5. Step 5: Solve for x
    x = 6,232,414,180.56/90,298
  6. Step 6: Final answer
    x = 69,020.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.