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Finding the Fourth Proportional to 141.90, 212.72 and 50.58

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Solution

The fourth proportional to 141.90, 212.72 and 50.58 is: 75.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 212.72 = 50.58 : x
  2. Step 2: Convert to fraction form
    141.90/212.72 = 50.58/x
  3. Step 3: Cross multiply
    141.90x = 212.72 × 50.58
  4. Step 4: Simplify right side
    141.90x = 10,759.12
  5. Step 5: Solve for x
    x = 10,759.12/141.90
  6. Step 6: Final answer
    x = 75.82

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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.