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Finding the Fourth Proportional to 204,560.51, 306,968.54 and 78,211.44

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Solution

The fourth proportional to 204,560.51, 306,968.54 and 78,211.44 is: 117,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,560.51 : 306,968.54 = 78,211.44 : x
  2. Step 2: Convert to fraction form
    204,560.51/306,968.54 = 78,211.44/x
  3. Step 3: Cross multiply
    204,560.51x = 306,968.54 × 78,211.44
  4. Step 4: Simplify right side
    204,560.51x = 24,008,451,157.04
  5. Step 5: Solve for x
    x = 24,008,451,157.04/204,560.51
  6. Step 6: Final answer
    x = 117,366.01

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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.