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Finding the Fourth Proportional to 97.56, 146.48 and 52.07

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Solution

The fourth proportional to 97.56, 146.48 and 52.07 is: 78.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 146.48 = 52.07 : x
  2. Step 2: Convert to fraction form
    97.56/146.48 = 52.07/x
  3. Step 3: Cross multiply
    97.56x = 146.48 × 52.07
  4. Step 4: Simplify right side
    97.56x = 7,626.22
  5. Step 5: Solve for x
    x = 7,626.22/97.56
  6. Step 6: Final answer
    x = 78.17

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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.