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Finding the Fourth Proportional to 52.43, 78.09 and 50.09

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Solution

The fourth proportional to 52.43, 78.09 and 50.09 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.43 : 78.09 = 50.09 : x
  2. Step 2: Convert to fraction form
    52.43/78.09 = 50.09/x
  3. Step 3: Cross multiply
    52.43x = 78.09 × 50.09
  4. Step 4: Simplify right side
    52.43x = 3,911.53
  5. Step 5: Solve for x
    x = 3,911.53/52.43
  6. Step 6: Final answer
    x = 74.60

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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.