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Finding the Fourth Proportional to 198,688.68, 274,185 and 112,663.44

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Solution

The fourth proportional to 198,688.68, 274,185 and 112,663.44 is: 155,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,688.68 : 274,185 = 112,663.44 : x
  2. Step 2: Convert to fraction form
    198,688.68/274,185 = 112,663.44/x
  3. Step 3: Cross multiply
    198,688.68x = 274,185 × 112,663.44
  4. Step 4: Simplify right side
    198,688.68x = 30,890,625,296.40
  5. Step 5: Solve for x
    x = 30,890,625,296.40/198,688.68
  6. Step 6: Final answer
    x = 155,472.50

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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.