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Finding the Fourth Proportional to 97.64, 147.08 and 79.82

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Solution

The fourth proportional to 97.64, 147.08 and 79.82 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 147.08 = 79.82 : x
  2. Step 2: Convert to fraction form
    97.64/147.08 = 79.82/x
  3. Step 3: Cross multiply
    97.64x = 147.08 × 79.82
  4. Step 4: Simplify right side
    97.64x = 11,739.93
  5. Step 5: Solve for x
    x = 11,739.93/97.64
  6. Step 6: Final answer
    x = 120.24

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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.