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Finding the Fourth Proportional to 117.57, 162.21 and 78.76

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Solution

The fourth proportional to 117.57, 162.21 and 78.76 is: 108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 162.21 = 78.76 : x
  2. Step 2: Convert to fraction form
    117.57/162.21 = 78.76/x
  3. Step 3: Cross multiply
    117.57x = 162.21 × 78.76
  4. Step 4: Simplify right side
    117.57x = 12,775.66
  5. Step 5: Solve for x
    x = 12,775.66/117.57
  6. Step 6: Final answer
    x = 108.66

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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.