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Finding the Fourth Proportional to 93.61, 128.65 and 83.19

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Solution

The fourth proportional to 93.61, 128.65 and 83.19 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.61 : 128.65 = 83.19 : x
  2. Step 2: Convert to fraction form
    93.61/128.65 = 83.19/x
  3. Step 3: Cross multiply
    93.61x = 128.65 × 83.19
  4. Step 4: Simplify right side
    93.61x = 10,702.39
  5. Step 5: Solve for x
    x = 10,702.39/93.61
  6. Step 6: Final answer
    x = 114.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.