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Finding the Fourth Proportional to 50,457.87, 75,696.03 and 20,859.66

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Solution

The fourth proportional to 50,457.87, 75,696.03 and 20,859.66 is: 31,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,457.87 : 75,696.03 = 20,859.66 : x
  2. Step 2: Convert to fraction form
    50,457.87/75,696.03 = 20,859.66/x
  3. Step 3: Cross multiply
    50,457.87x = 75,696.03 × 20,859.66
  4. Step 4: Simplify right side
    50,457.87x = 1,578,993,449.15
  5. Step 5: Solve for x
    x = 1,578,993,449.15/50,457.87
  6. Step 6: Final answer
    x = 31,293.30

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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.