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Finding the Fourth Proportional to 199,263.47, 298,830.21 and 66,107.98

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Solution

The fourth proportional to 199,263.47, 298,830.21 and 66,107.98 is: 99,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,263.47 : 298,830.21 = 66,107.98 : x
  2. Step 2: Convert to fraction form
    199,263.47/298,830.21 = 66,107.98/x
  3. Step 3: Cross multiply
    199,263.47x = 298,830.21 × 66,107.98
  4. Step 4: Simplify right side
    199,263.47x = 19,755,061,546.08
  5. Step 5: Solve for x
    x = 19,755,061,546.08/199,263.47
  6. Step 6: Final answer
    x = 99,140.41

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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.