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Finding the Fourth Proportional to 199,262.98, 298,829.46 and 66,107.49

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Solution

The fourth proportional to 199,262.98, 298,829.46 and 66,107.49 is: 99,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,262.98 : 298,829.46 = 66,107.49 : x
  2. Step 2: Convert to fraction form
    199,262.98/298,829.46 = 66,107.49/x
  3. Step 3: Cross multiply
    199,262.98x = 298,829.46 × 66,107.49
  4. Step 4: Simplify right side
    199,262.98x = 19,754,865,538.66
  5. Step 5: Solve for x
    x = 19,754,865,538.66/199,262.98
  6. Step 6: Final answer
    x = 99,139.67

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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.