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Finding the Fourth Proportional to 141.77, 212.45 and 93.57

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Solution

The fourth proportional to 141.77, 212.45 and 93.57 is: 140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.77 : 212.45 = 93.57 : x
  2. Step 2: Convert to fraction form
    141.77/212.45 = 93.57/x
  3. Step 3: Cross multiply
    141.77x = 212.45 × 93.57
  4. Step 4: Simplify right side
    141.77x = 19,878.48
  5. Step 5: Solve for x
    x = 19,878.48/141.77
  6. Step 6: Final answer
    x = 140.22

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