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Finding the Fourth Proportional to 199,800, 299,700 and 52,056

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Solution

The fourth proportional to 199,800, 299,700 and 52,056 is: 78,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,800 : 299,700 = 52,056 : x
  2. Step 2: Convert to fraction form
    199,800/299,700 = 52,056/x
  3. Step 3: Cross multiply
    199,800x = 299,700 × 52,056
  4. Step 4: Simplify right side
    199,800x = 15,601,183,200
  5. Step 5: Solve for x
    x = 15,601,183,200/199,800
  6. Step 6: Final answer
    x = 78,084

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.