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Finding the Fourth Proportional to 198,852.42, 298,101.81 and 72,468.93

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Solution

The fourth proportional to 198,852.42, 298,101.81 and 72,468.93 is: 108,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,852.42 : 298,101.81 = 72,468.93 : x
  2. Step 2: Convert to fraction form
    198,852.42/298,101.81 = 72,468.93/x
  3. Step 3: Cross multiply
    198,852.42x = 298,101.81 × 72,468.93
  4. Step 4: Simplify right side
    198,852.42x = 21,603,119,201.76
  5. Step 5: Solve for x
    x = 21,603,119,201.76/198,852.42
  6. Step 6: Final answer
    x = 108,638.96

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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.