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Finding the Fourth Proportional to 199,099.56, 298,670.94 and 99,284.88

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Solution

The fourth proportional to 199,099.56, 298,670.94 and 99,284.88 is: 148,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,099.56 : 298,670.94 = 99,284.88 : x
  2. Step 2: Convert to fraction form
    199,099.56/298,670.94 = 99,284.88/x
  3. Step 3: Cross multiply
    199,099.56x = 298,670.94 × 99,284.88
  4. Step 4: Simplify right side
    199,099.56x = 29,653,508,437.39
  5. Step 5: Solve for x
    x = 29,653,508,437.39/199,099.56
  6. Step 6: Final answer
    x = 148,938.09

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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.