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Finding the Fourth Proportional to 64.68, 97.50 and 61.14

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Solution

The fourth proportional to 64.68, 97.50 and 61.14 is: 92.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.68 : 97.50 = 61.14 : x
  2. Step 2: Convert to fraction form
    64.68/97.50 = 61.14/x
  3. Step 3: Cross multiply
    64.68x = 97.50 × 61.14
  4. Step 4: Simplify right side
    64.68x = 5,961.15
  5. Step 5: Solve for x
    x = 5,961.15/64.68
  6. Step 6: Final answer
    x = 92.16

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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.