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Finding the Fourth Proportional to 199,046.97, 298,357.29 and 98,991.72

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Solution

The fourth proportional to 199,046.97, 298,357.29 and 98,991.72 is: 148,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,046.97 : 298,357.29 = 98,991.72 : x
  2. Step 2: Convert to fraction form
    199,046.97/298,357.29 = 98,991.72/x
  3. Step 3: Cross multiply
    199,046.97x = 298,357.29 × 98,991.72
  4. Step 4: Simplify right side
    199,046.97x = 29,534,901,311.64
  5. Step 5: Solve for x
    x = 29,534,901,311.64/199,046.97
  6. Step 6: Final answer
    x = 148,381.57

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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.