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Finding the Fourth Proportional to 199,662.64, 275,535.04 and 109,019.40

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Solution

The fourth proportional to 199,662.64, 275,535.04 and 109,019.40 is: 150,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,662.64 : 275,535.04 = 109,019.40 : x
  2. Step 2: Convert to fraction form
    199,662.64/275,535.04 = 109,019.40/x
  3. Step 3: Cross multiply
    199,662.64x = 275,535.04 × 109,019.40
  4. Step 4: Simplify right side
    199,662.64x = 30,038,664,739.78
  5. Step 5: Solve for x
    x = 30,038,664,739.78/199,662.64
  6. Step 6: Final answer
    x = 150,447.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.