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Finding the Fourth Proportional to 99.68, 148.73 and 86.18

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Solution

The fourth proportional to 99.68, 148.73 and 86.18 is: 128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.68 : 148.73 = 86.18 : x
  2. Step 2: Convert to fraction form
    99.68/148.73 = 86.18/x
  3. Step 3: Cross multiply
    99.68x = 148.73 × 86.18
  4. Step 4: Simplify right side
    99.68x = 12,816.38
  5. Step 5: Solve for x
    x = 12,816.38/99.68
  6. Step 6: Final answer
    x = 128.58

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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.