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Finding the Fourth Proportional to 75,202.71, 103,811.75 and 50,678.90

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Solution

The fourth proportional to 75,202.71, 103,811.75 and 50,678.90 is: 69,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,202.71 : 103,811.75 = 50,678.90 : x
  2. Step 2: Convert to fraction form
    75,202.71/103,811.75 = 50,678.90/x
  3. Step 3: Cross multiply
    75,202.71x = 103,811.75 × 50,678.90
  4. Step 4: Simplify right side
    75,202.71x = 5,261,064,524.62
  5. Step 5: Solve for x
    x = 5,261,064,524.62/75,202.71
  6. Step 6: Final answer
    x = 69,958.44

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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.