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Finding the Fourth Proportional to 97.84, 146.64 and 68.80

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Solution

The fourth proportional to 97.84, 146.64 and 68.80 is: 103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 146.64 = 68.80 : x
  2. Step 2: Convert to fraction form
    97.84/146.64 = 68.80/x
  3. Step 3: Cross multiply
    97.84x = 146.64 × 68.80
  4. Step 4: Simplify right side
    97.84x = 10,088.83
  5. Step 5: Solve for x
    x = 10,088.83/97.84
  6. Step 6: Final answer
    x = 103.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.