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Finding the Fourth Proportional to 198,476.42, 297,620.79 and 76,953.81

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Solution

The fourth proportional to 198,476.42, 297,620.79 and 76,953.81 is: 115,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,476.42 : 297,620.79 = 76,953.81 : x
  2. Step 2: Convert to fraction form
    198,476.42/297,620.79 = 76,953.81/x
  3. Step 3: Cross multiply
    198,476.42x = 297,620.79 × 76,953.81
  4. Step 4: Simplify right side
    198,476.42x = 22,903,053,725.71
  5. Step 5: Solve for x
    x = 22,903,053,725.71/198,476.42
  6. Step 6: Final answer
    x = 115,394.33

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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.