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Finding the Fourth Proportional to 199,736.20, 299,774.40 and 81,492.40

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Solution

The fourth proportional to 199,736.20, 299,774.40 and 81,492.40 is: 122,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,736.20 : 299,774.40 = 81,492.40 : x
  2. Step 2: Convert to fraction form
    199,736.20/299,774.40 = 81,492.40/x
  3. Step 3: Cross multiply
    199,736.20x = 299,774.40 × 81,492.40
  4. Step 4: Simplify right side
    199,736.20x = 24,429,335,314.56
  5. Step 5: Solve for x
    x = 24,429,335,314.56/199,736.20
  6. Step 6: Final answer
    x = 122,308.00

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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.