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Finding the Fourth Proportional to 141.86, 211.78 and 117.74

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Solution

The fourth proportional to 141.86, 211.78 and 117.74 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.86 : 211.78 = 117.74 : x
  2. Step 2: Convert to fraction form
    141.86/211.78 = 117.74/x
  3. Step 3: Cross multiply
    141.86x = 211.78 × 117.74
  4. Step 4: Simplify right side
    141.86x = 24,934.98
  5. Step 5: Solve for x
    x = 24,934.98/141.86
  6. Step 6: Final answer
    x = 175.77

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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.