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Finding the Fourth Proportional to 50.74, 76.14 and 47.58

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Solution

The fourth proportional to 50.74, 76.14 and 47.58 is: 71.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.74 : 76.14 = 47.58 : x
  2. Step 2: Convert to fraction form
    50.74/76.14 = 47.58/x
  3. Step 3: Cross multiply
    50.74x = 76.14 × 47.58
  4. Step 4: Simplify right side
    50.74x = 3,622.74
  5. Step 5: Solve for x
    x = 3,622.74/50.74
  6. Step 6: Final answer
    x = 71.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.