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Finding the Fourth Proportional to 98.07, 146.37 and 87.81

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Solution

The fourth proportional to 98.07, 146.37 and 87.81 is: 131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.07 : 146.37 = 87.81 : x
  2. Step 2: Convert to fraction form
    98.07/146.37 = 87.81/x
  3. Step 3: Cross multiply
    98.07x = 146.37 × 87.81
  4. Step 4: Simplify right side
    98.07x = 12,852.75
  5. Step 5: Solve for x
    x = 12,852.75/98.07
  6. Step 6: Final answer
    x = 131.06

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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.