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Finding the Fourth Proportional to 199,911.75, 299,867.67 and 52,167.75

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Solution

The fourth proportional to 199,911.75, 299,867.67 and 52,167.75 is: 78,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,911.75 : 299,867.67 = 52,167.75 : x
  2. Step 2: Convert to fraction form
    199,911.75/299,867.67 = 52,167.75/x
  3. Step 3: Cross multiply
    199,911.75x = 299,867.67 × 52,167.75
  4. Step 4: Simplify right side
    199,911.75x = 15,643,421,641.64
  5. Step 5: Solve for x
    x = 15,643,421,641.64/199,911.75
  6. Step 6: Final answer
    x = 78,251.64

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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.