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Finding the Fourth Proportional to 198,647.42, 298,007.79 and 65,536.88

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Solution

The fourth proportional to 198,647.42, 298,007.79 and 65,536.88 is: 98,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,647.42 : 298,007.79 = 65,536.88 : x
  2. Step 2: Convert to fraction form
    198,647.42/298,007.79 = 65,536.88/x
  3. Step 3: Cross multiply
    198,647.42x = 298,007.79 × 65,536.88
  4. Step 4: Simplify right side
    198,647.42x = 19,530,501,271.55
  5. Step 5: Solve for x
    x = 19,530,501,271.55/198,647.42
  6. Step 6: Final answer
    x = 98,317.42

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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.