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Finding the Fourth Proportional to 199,213.76, 274,915.04 and 109,789.76

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Solution

The fourth proportional to 199,213.76, 274,915.04 and 109,789.76 is: 151,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,213.76 : 274,915.04 = 109,789.76 : x
  2. Step 2: Convert to fraction form
    199,213.76/274,915.04 = 109,789.76/x
  3. Step 3: Cross multiply
    199,213.76x = 274,915.04 × 109,789.76
  4. Step 4: Simplify right side
    199,213.76x = 30,182,856,261.99
  5. Step 5: Solve for x
    x = 30,182,856,261.99/199,213.76
  6. Step 6: Final answer
    x = 151,509.90

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1.5x scale

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.