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Finding the Fourth Proportional to 131.16, 181.01 and 78.70

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Solution

The fourth proportional to 131.16, 181.01 and 78.70 is: 108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 181.01 = 78.70 : x
  2. Step 2: Convert to fraction form
    131.16/181.01 = 78.70/x
  3. Step 3: Cross multiply
    131.16x = 181.01 × 78.70
  4. Step 4: Simplify right side
    131.16x = 14,245.58
  5. Step 5: Solve for x
    x = 14,245.58/131.16
  6. Step 6: Final answer
    x = 108.61

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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.