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Finding the Fourth Proportional to 198,889.70, 274,398.50 and 112,838.54

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Solution

The fourth proportional to 198,889.70, 274,398.50 and 112,838.54 is: 155,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889.70 : 274,398.50 = 112,838.54 : x
  2. Step 2: Convert to fraction form
    198,889.70/274,398.50 = 112,838.54/x
  3. Step 3: Cross multiply
    198,889.70x = 274,398.50 × 112,838.54
  4. Step 4: Simplify right side
    198,889.70x = 30,962,724,182.00
  5. Step 5: Solve for x
    x = 30,962,724,182.00/198,889.70
  6. Step 6: Final answer
    x = 155,677.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.