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Finding the Fourth Proportional to 97.19, 145.78 and 78.09

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Solution

The fourth proportional to 97.19, 145.78 and 78.09 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 145.78 = 78.09 : x
  2. Step 2: Convert to fraction form
    97.19/145.78 = 78.09/x
  3. Step 3: Cross multiply
    97.19x = 145.78 × 78.09
  4. Step 4: Simplify right side
    97.19x = 11,383.96
  5. Step 5: Solve for x
    x = 11,383.96/97.19
  6. Step 6: Final answer
    x = 117.13

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Why These Related Problems?

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