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Finding the Fourth Proportional to 99.14, 147.63 and 95

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Solution

The fourth proportional to 99.14, 147.63 and 95 is: 141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.14 : 147.63 = 95 : x
  2. Step 2: Convert to fraction form
    99.14/147.63 = 95/x
  3. Step 3: Cross multiply
    99.14x = 147.63 × 95
  4. Step 4: Simplify right side
    99.14x = 14,024.38
  5. Step 5: Solve for x
    x = 14,024.38/99.14
  6. Step 6: Final answer
    x = 141.46

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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.