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Finding the Fourth Proportional to 86.47, 117.73 and 86.20

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Solution

The fourth proportional to 86.47, 117.73 and 86.20 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.47 : 117.73 = 86.20 : x
  2. Step 2: Convert to fraction form
    86.47/117.73 = 86.20/x
  3. Step 3: Cross multiply
    86.47x = 117.73 × 86.20
  4. Step 4: Simplify right side
    86.47x = 10,148.33
  5. Step 5: Solve for x
    x = 10,148.33/86.47
  6. Step 6: Final answer
    x = 117.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.