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Finding the Fourth Proportional to 200,271, 276,378.30 and 110,847

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Solution

The fourth proportional to 200,271, 276,378.30 and 110,847 is: 152,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,271 : 276,378.30 = 110,847 : x
  2. Step 2: Convert to fraction form
    200,271/276,378.30 = 110,847/x
  3. Step 3: Cross multiply
    200,271x = 276,378.30 × 110,847
  4. Step 4: Simplify right side
    200,271x = 30,635,705,420.10
  5. Step 5: Solve for x
    x = 30,635,705,420.10/200,271
  6. Step 6: Final answer
    x = 152,971.25

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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.