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Finding the Fourth Proportional to 199,913.75, 299,870.67 and 52,169.75

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Solution

The fourth proportional to 199,913.75, 299,870.67 and 52,169.75 is: 78,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,913.75 : 299,870.67 = 52,169.75 : x
  2. Step 2: Convert to fraction form
    199,913.75/299,870.67 = 52,169.75/x
  3. Step 3: Cross multiply
    199,913.75x = 299,870.67 × 52,169.75
  4. Step 4: Simplify right side
    199,913.75x = 15,644,177,886.23
  5. Step 5: Solve for x
    x = 15,644,177,886.23/199,913.75
  6. Step 6: Final answer
    x = 78,254.64

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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.