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Finding the Fourth Proportional to 50,867, 70,179.66 and 30,716.23

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Solution

The fourth proportional to 50,867, 70,179.66 and 30,716.23 is: 42,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,867 : 70,179.66 = 30,716.23 : x
  2. Step 2: Convert to fraction form
    50,867/70,179.66 = 30,716.23/x
  3. Step 3: Cross multiply
    50,867x = 70,179.66 × 30,716.23
  4. Step 4: Simplify right side
    50,867x = 2,155,654,577.88
  5. Step 5: Solve for x
    x = 2,155,654,577.88/50,867
  6. Step 6: Final answer
    x = 42,378.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.