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Finding the Fourth Proportional to 86.09, 118.81 and 51.13

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Solution

The fourth proportional to 86.09, 118.81 and 51.13 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.09 : 118.81 = 51.13 : x
  2. Step 2: Convert to fraction form
    86.09/118.81 = 51.13/x
  3. Step 3: Cross multiply
    86.09x = 118.81 × 51.13
  4. Step 4: Simplify right side
    86.09x = 6,074.01
  5. Step 5: Solve for x
    x = 6,074.01/86.09
  6. Step 6: Final answer
    x = 70.56

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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.