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Finding the Fourth Proportional to 101.84, 139.70 and 98.36

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Solution

The fourth proportional to 101.84, 139.70 and 98.36 is: 134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 139.70 = 98.36 : x
  2. Step 2: Convert to fraction form
    101.84/139.70 = 98.36/x
  3. Step 3: Cross multiply
    101.84x = 139.70 × 98.36
  4. Step 4: Simplify right side
    101.84x = 13,740.89
  5. Step 5: Solve for x
    x = 13,740.89/101.84
  6. Step 6: Final answer
    x = 134.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.