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Finding the Fourth Proportional to 98,775.24, 147,990.42 and 82,241.64

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Solution

The fourth proportional to 98,775.24, 147,990.42 and 82,241.64 is: 123,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,775.24 : 147,990.42 = 82,241.64 : x
  2. Step 2: Convert to fraction form
    98,775.24/147,990.42 = 82,241.64/x
  3. Step 3: Cross multiply
    98,775.24x = 147,990.42 × 82,241.64
  4. Step 4: Simplify right side
    98,775.24x = 12,170,974,845.09
  5. Step 5: Solve for x
    x = 12,170,974,845.09/98,775.24
  6. Step 6: Final answer
    x = 123,218.88

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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.