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Finding the Fourth Proportional to 52.14, 77.81 and 45.74

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Solution

The fourth proportional to 52.14, 77.81 and 45.74 is: 68.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 77.81 = 45.74 : x
  2. Step 2: Convert to fraction form
    52.14/77.81 = 45.74/x
  3. Step 3: Cross multiply
    52.14x = 77.81 × 45.74
  4. Step 4: Simplify right side
    52.14x = 3,559.03
  5. Step 5: Solve for x
    x = 3,559.03/52.14
  6. Step 6: Final answer
    x = 68.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.