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Finding the Fourth Proportional to 100.05, 149.95 and 48.61

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Solution

The fourth proportional to 100.05, 149.95 and 48.61 is: 72.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.05 : 149.95 = 48.61 : x
  2. Step 2: Convert to fraction form
    100.05/149.95 = 48.61/x
  3. Step 3: Cross multiply
    100.05x = 149.95 × 48.61
  4. Step 4: Simplify right side
    100.05x = 7,289.07
  5. Step 5: Solve for x
    x = 7,289.07/100.05
  6. Step 6: Final answer
    x = 72.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.