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Finding the Fourth Proportional to 99.83, 149.14 and 83.63

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Solution

The fourth proportional to 99.83, 149.14 and 83.63 is: 124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 149.14 = 83.63 : x
  2. Step 2: Convert to fraction form
    99.83/149.14 = 83.63/x
  3. Step 3: Cross multiply
    99.83x = 149.14 × 83.63
  4. Step 4: Simplify right side
    99.83x = 12,472.58
  5. Step 5: Solve for x
    x = 12,472.58/99.83
  6. Step 6: Final answer
    x = 124.94

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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.