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Finding the Fourth Proportional to 117.86, 162.58 and 76.43

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Solution

The fourth proportional to 117.86, 162.58 and 76.43 is: 105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 162.58 = 76.43 : x
  2. Step 2: Convert to fraction form
    117.86/162.58 = 76.43/x
  3. Step 3: Cross multiply
    117.86x = 162.58 × 76.43
  4. Step 4: Simplify right side
    117.86x = 12,426.33
  5. Step 5: Solve for x
    x = 12,426.33/117.86
  6. Step 6: Final answer
    x = 105.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.