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Finding the Fourth Proportional to 90,324.56, 135,570 and 45,983

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Solution

The fourth proportional to 90,324.56, 135,570 and 45,983 is: 69,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,324.56 : 135,570 = 45,983 : x
  2. Step 2: Convert to fraction form
    90,324.56/135,570 = 45,983/x
  3. Step 3: Cross multiply
    90,324.56x = 135,570 × 45,983
  4. Step 4: Simplify right side
    90,324.56x = 6,233,915,310
  5. Step 5: Solve for x
    x = 6,233,915,310/90,324.56
  6. Step 6: Final answer
    x = 69,016.84

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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.