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Finding the Fourth Proportional to 50,659.85, 75,989.84 and 13,219.90

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Solution

The fourth proportional to 50,659.85, 75,989.84 and 13,219.90 is: 19,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,659.85 : 75,989.84 = 13,219.90 : x
  2. Step 2: Convert to fraction form
    50,659.85/75,989.84 = 13,219.90/x
  3. Step 3: Cross multiply
    50,659.85x = 75,989.84 × 13,219.90
  4. Step 4: Simplify right side
    50,659.85x = 1,004,578,085.82
  5. Step 5: Solve for x
    x = 1,004,578,085.82/50,659.85
  6. Step 6: Final answer
    x = 19,829.87

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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.