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Finding the Fourth Proportional to 199,427.94, 298,988.55 and 103,262.11

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Solution

The fourth proportional to 199,427.94, 298,988.55 and 103,262.11 is: 154,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,427.94 : 298,988.55 = 103,262.11 : x
  2. Step 2: Convert to fraction form
    199,427.94/298,988.55 = 103,262.11/x
  3. Step 3: Cross multiply
    199,427.94x = 298,988.55 × 103,262.11
  4. Step 4: Simplify right side
    199,427.94x = 30,874,187,791.37
  5. Step 5: Solve for x
    x = 30,874,187,791.37/199,427.94
  6. Step 6: Final answer
    x = 154,813.75

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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.