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Finding the Fourth Proportional to 86.69, 119.64 and 61.84

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Solution

The fourth proportional to 86.69, 119.64 and 61.84 is: 85.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.69 : 119.64 = 61.84 : x
  2. Step 2: Convert to fraction form
    86.69/119.64 = 61.84/x
  3. Step 3: Cross multiply
    86.69x = 119.64 × 61.84
  4. Step 4: Simplify right side
    86.69x = 7,398.92
  5. Step 5: Solve for x
    x = 7,398.92/86.69
  6. Step 6: Final answer
    x = 85.35

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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.