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Finding the Fourth Proportional to 50,805.77, 76,178.58 and 20,811.06

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Solution

The fourth proportional to 50,805.77, 76,178.58 and 20,811.06 is: 31,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.77 : 76,178.58 = 20,811.06 : x
  2. Step 2: Convert to fraction form
    50,805.77/76,178.58 = 20,811.06/x
  3. Step 3: Cross multiply
    50,805.77x = 76,178.58 × 20,811.06
  4. Step 4: Simplify right side
    50,805.77x = 1,585,356,921.05
  5. Step 5: Solve for x
    x = 1,585,356,921.05/50,805.77
  6. Step 6: Final answer
    x = 31,204.27

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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.