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Finding the Fourth Proportional to 199,554.81, 299,321.28 and 120,647.85

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Solution

The fourth proportional to 199,554.81, 299,321.28 and 120,647.85 is: 180,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,554.81 : 299,321.28 = 120,647.85 : x
  2. Step 2: Convert to fraction form
    199,554.81/299,321.28 = 120,647.85/x
  3. Step 3: Cross multiply
    199,554.81x = 299,321.28 × 120,647.85
  4. Step 4: Simplify right side
    199,554.81x = 36,112,468,891.25
  5. Step 5: Solve for x
    x = 36,112,468,891.25/199,554.81
  6. Step 6: Final answer
    x = 180,965.16

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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.