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Finding the Fourth Proportional to 50,509.38, 75,764.04 and 20,919.24

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Solution

The fourth proportional to 50,509.38, 75,764.04 and 20,919.24 is: 31,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.38 : 75,764.04 = 20,919.24 : x
  2. Step 2: Convert to fraction form
    50,509.38/75,764.04 = 20,919.24/x
  3. Step 3: Cross multiply
    50,509.38x = 75,764.04 × 20,919.24
  4. Step 4: Simplify right side
    50,509.38x = 1,584,926,136.13
  5. Step 5: Solve for x
    x = 1,584,926,136.13/50,509.38
  6. Step 6: Final answer
    x = 31,378.85

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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.