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Finding the Fourth Proportional to 199,409.90, 299,114.85 and 115,429.10

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Solution

The fourth proportional to 199,409.90, 299,114.85 and 115,429.10 is: 173,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.90 : 299,114.85 = 115,429.10 : x
  2. Step 2: Convert to fraction form
    199,409.90/299,114.85 = 115,429.10/x
  3. Step 3: Cross multiply
    199,409.90x = 299,114.85 × 115,429.10
  4. Step 4: Simplify right side
    199,409.90x = 34,526,557,932.14
  5. Step 5: Solve for x
    x = 34,526,557,932.14/199,409.90
  6. Step 6: Final answer
    x = 173,143.65

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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.