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Finding the Fourth Proportional to 198,777, 298,167.08 and 72,507.72

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Solution

The fourth proportional to 198,777, 298,167.08 and 72,507.72 is: 108,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,777 : 298,167.08 = 72,507.72 : x
  2. Step 2: Convert to fraction form
    198,777/298,167.08 = 72,507.72/x
  3. Step 3: Cross multiply
    198,777x = 298,167.08 × 72,507.72
  4. Step 4: Simplify right side
    198,777x = 21,619,415,149.86
  5. Step 5: Solve for x
    x = 21,619,415,149.86/198,777
  6. Step 6: Final answer
    x = 108,762.16

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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.