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Finding the Fourth Proportional to 198,723.71, 298,099.47 and 65,697.62

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Solution

The fourth proportional to 198,723.71, 298,099.47 and 65,697.62 is: 98,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,723.71 : 298,099.47 = 65,697.62 : x
  2. Step 2: Convert to fraction form
    198,723.71/298,099.47 = 65,697.62/x
  3. Step 3: Cross multiply
    198,723.71x = 298,099.47 × 65,697.62
  4. Step 4: Simplify right side
    198,723.71x = 19,584,424,211.76
  5. Step 5: Solve for x
    x = 19,584,424,211.76/198,723.71
  6. Step 6: Final answer
    x = 98,551.02

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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.