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Finding the Fourth Proportional to 97.35, 145.38 and 78.12

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Solution

The fourth proportional to 97.35, 145.38 and 78.12 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.35 : 145.38 = 78.12 : x
  2. Step 2: Convert to fraction form
    97.35/145.38 = 78.12/x
  3. Step 3: Cross multiply
    97.35x = 145.38 × 78.12
  4. Step 4: Simplify right side
    97.35x = 11,356.36
  5. Step 5: Solve for x
    x = 11,356.36/97.35
  6. Step 6: Final answer
    x = 116.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.