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Finding the Fourth Proportional to 198,649.92, 298,162.14 and 72,412.18

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Solution

The fourth proportional to 198,649.92, 298,162.14 and 72,412.18 is: 108,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,649.92 : 298,162.14 = 72,412.18 : x
  2. Step 2: Convert to fraction form
    198,649.92/298,162.14 = 72,412.18/x
  3. Step 3: Cross multiply
    198,649.92x = 298,162.14 × 72,412.18
  4. Step 4: Simplify right side
    198,649.92x = 21,590,569,737.57
  5. Step 5: Solve for x
    x = 21,590,569,737.57/198,649.92
  6. Step 6: Final answer
    x = 108,686.53

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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.