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Finding the Fourth Proportional to 50,340.87, 75,462 and 20,783.55

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Solution

The fourth proportional to 50,340.87, 75,462 and 20,783.55 is: 31,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340.87 : 75,462 = 20,783.55 : x
  2. Step 2: Convert to fraction form
    50,340.87/75,462 = 20,783.55/x
  3. Step 3: Cross multiply
    50,340.87x = 75,462 × 20,783.55
  4. Step 4: Simplify right side
    50,340.87x = 1,568,368,250.10
  5. Step 5: Solve for x
    x = 1,568,368,250.10/50,340.87
  6. Step 6: Final answer
    x = 31,154.97

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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.