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Finding the Fourth Proportional to 99.14, 147.62 and 97.68

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Solution

The fourth proportional to 99.14, 147.62 and 97.68 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.14 : 147.62 = 97.68 : x
  2. Step 2: Convert to fraction form
    99.14/147.62 = 97.68/x
  3. Step 3: Cross multiply
    99.14x = 147.62 × 97.68
  4. Step 4: Simplify right side
    99.14x = 14,419.03
  5. Step 5: Solve for x
    x = 14,419.03/99.14
  6. Step 6: Final answer
    x = 145.45

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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.