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Finding the Fourth Proportional to 50,843.56, 76,266.06 and 15,781

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Solution

The fourth proportional to 50,843.56, 76,266.06 and 15,781 is: 23,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,843.56 : 76,266.06 = 15,781 : x
  2. Step 2: Convert to fraction form
    50,843.56/76,266.06 = 15,781/x
  3. Step 3: Cross multiply
    50,843.56x = 76,266.06 × 15,781
  4. Step 4: Simplify right side
    50,843.56x = 1,203,554,692.86
  5. Step 5: Solve for x
    x = 1,203,554,692.86/50,843.56
  6. Step 6: Final answer
    x = 23,671.72

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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.