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Finding the Fourth Proportional to 100.07, 137.65 and 83.46

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Solution

The fourth proportional to 100.07, 137.65 and 83.46 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.07 : 137.65 = 83.46 : x
  2. Step 2: Convert to fraction form
    100.07/137.65 = 83.46/x
  3. Step 3: Cross multiply
    100.07x = 137.65 × 83.46
  4. Step 4: Simplify right side
    100.07x = 11,488.73
  5. Step 5: Solve for x
    x = 11,488.73/100.07
  6. Step 6: Final answer
    x = 114.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.