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Finding the Fourth Proportional to 50.87, 70.25 and 42.12

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Solution

The fourth proportional to 50.87, 70.25 and 42.12 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.87 : 70.25 = 42.12 : x
  2. Step 2: Convert to fraction form
    50.87/70.25 = 42.12/x
  3. Step 3: Cross multiply
    50.87x = 70.25 × 42.12
  4. Step 4: Simplify right side
    50.87x = 2,958.72
  5. Step 5: Solve for x
    x = 2,958.72/50.87
  6. Step 6: Final answer
    x = 58.16

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