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Finding the Fourth Proportional to 105.72, 159.12 and 97.20

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Solution

The fourth proportional to 105.72, 159.12 and 97.20 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 159.12 = 97.20 : x
  2. Step 2: Convert to fraction form
    105.72/159.12 = 97.20/x
  3. Step 3: Cross multiply
    105.72x = 159.12 × 97.20
  4. Step 4: Simplify right side
    105.72x = 15,466.46
  5. Step 5: Solve for x
    x = 15,466.46/105.72
  6. Step 6: Final answer
    x = 146.30

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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.