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Finding the Fourth Proportional to 199,307.77, 298,976.28 and 85,344.44

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Solution

The fourth proportional to 199,307.77, 298,976.28 and 85,344.44 is: 128,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,307.77 : 298,976.28 = 85,344.44 : x
  2. Step 2: Convert to fraction form
    199,307.77/298,976.28 = 85,344.44/x
  3. Step 3: Cross multiply
    199,307.77x = 298,976.28 × 85,344.44
  4. Step 4: Simplify right side
    199,307.77x = 25,515,962,981.03
  5. Step 5: Solve for x
    x = 25,515,962,981.03/199,307.77
  6. Step 6: Final answer
    x = 128,022.92

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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.