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Finding the Fourth Proportional to 117.92, 177.50 and 83.92

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Solution

The fourth proportional to 117.92, 177.50 and 83.92 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.92 : 177.50 = 83.92 : x
  2. Step 2: Convert to fraction form
    117.92/177.50 = 83.92/x
  3. Step 3: Cross multiply
    117.92x = 177.50 × 83.92
  4. Step 4: Simplify right side
    117.92x = 14,895.09
  5. Step 5: Solve for x
    x = 14,895.09/117.92
  6. Step 6: Final answer
    x = 126.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.