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Finding the Fourth Proportional to 199,915.80, 299,764.35 and 81,453.30

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Solution

The fourth proportional to 199,915.80, 299,764.35 and 81,453.30 is: 122,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,915.80 : 299,764.35 = 81,453.30 : x
  2. Step 2: Convert to fraction form
    199,915.80/299,764.35 = 81,453.30/x
  3. Step 3: Cross multiply
    199,915.80x = 299,764.35 × 81,453.30
  4. Step 4: Simplify right side
    199,915.80x = 24,416,795,529.86
  5. Step 5: Solve for x
    x = 24,416,795,529.86/199,915.80
  6. Step 6: Final answer
    x = 122,135.40

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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.