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Finding the Fourth Proportional to 48,133.50, 72,229.42 and 20,431.50

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Solution

The fourth proportional to 48,133.50, 72,229.42 and 20,431.50 is: 30,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,133.50 : 72,229.42 = 20,431.50 : x
  2. Step 2: Convert to fraction form
    48,133.50/72,229.42 = 20,431.50/x
  3. Step 3: Cross multiply
    48,133.50x = 72,229.42 × 20,431.50
  4. Step 4: Simplify right side
    48,133.50x = 1,475,755,394.73
  5. Step 5: Solve for x
    x = 1,475,755,394.73/48,133.50
  6. Step 6: Final answer
    x = 30,659.63

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1.5x scale

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.