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Finding the Fourth Proportional to 93.97, 129.54 and 61.21

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Solution

The fourth proportional to 93.97, 129.54 and 61.21 is: 84.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.97 : 129.54 = 61.21 : x
  2. Step 2: Convert to fraction form
    93.97/129.54 = 61.21/x
  3. Step 3: Cross multiply
    93.97x = 129.54 × 61.21
  4. Step 4: Simplify right side
    93.97x = 7,929.14
  5. Step 5: Solve for x
    x = 7,929.14/93.97
  6. Step 6: Final answer
    x = 84.38

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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.