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Finding the Fourth Proportional to 198,674.65, 274,103.93 and 112,624.40

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Solution

The fourth proportional to 198,674.65, 274,103.93 and 112,624.40 is: 155,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,674.65 : 274,103.93 = 112,624.40 : x
  2. Step 2: Convert to fraction form
    198,674.65/274,103.93 = 112,624.40/x
  3. Step 3: Cross multiply
    198,674.65x = 274,103.93 × 112,624.40
  4. Step 4: Simplify right side
    198,674.65x = 30,870,791,620.71
  5. Step 5: Solve for x
    x = 30,870,791,620.71/198,674.65
  6. Step 6: Final answer
    x = 155,383.65

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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.