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Finding the Fourth Proportional to 117.47, 162.09 and 84.33

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Solution

The fourth proportional to 117.47, 162.09 and 84.33 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 162.09 = 84.33 : x
  2. Step 2: Convert to fraction form
    117.47/162.09 = 84.33/x
  3. Step 3: Cross multiply
    117.47x = 162.09 × 84.33
  4. Step 4: Simplify right side
    117.47x = 13,669.05
  5. Step 5: Solve for x
    x = 13,669.05/117.47
  6. Step 6: Final answer
    x = 116.37

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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.