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Finding the Fourth Proportional to 199,144.58, 298,601.85 and 65,988.95

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Solution

The fourth proportional to 199,144.58, 298,601.85 and 65,988.95 is: 98,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,144.58 : 298,601.85 = 65,988.95 : x
  2. Step 2: Convert to fraction form
    199,144.58/298,601.85 = 65,988.95/x
  3. Step 3: Cross multiply
    199,144.58x = 298,601.85 × 65,988.95
  4. Step 4: Simplify right side
    199,144.58x = 19,704,422,549.56
  5. Step 5: Solve for x
    x = 19,704,422,549.56/199,144.58
  6. Step 6: Final answer
    x = 98,945.31

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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.