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Finding the Fourth Proportional to 99.78, 148.91 and 97.14

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Solution

The fourth proportional to 99.78, 148.91 and 97.14 is: 144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.78 : 148.91 = 97.14 : x
  2. Step 2: Convert to fraction form
    99.78/148.91 = 97.14/x
  3. Step 3: Cross multiply
    99.78x = 148.91 × 97.14
  4. Step 4: Simplify right side
    99.78x = 14,464.63
  5. Step 5: Solve for x
    x = 14,464.63/99.78
  6. Step 6: Final answer
    x = 144.97

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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.