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Finding the Fourth Proportional to 198,007.74, 296,942.49 and 79,648.38

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Solution

The fourth proportional to 198,007.74, 296,942.49 and 79,648.38 is: 119,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,007.74 : 296,942.49 = 79,648.38 : x
  2. Step 2: Convert to fraction form
    198,007.74/296,942.49 = 79,648.38/x
  3. Step 3: Cross multiply
    198,007.74x = 296,942.49 × 79,648.38
  4. Step 4: Simplify right side
    198,007.74x = 23,650,988,281.67
  5. Step 5: Solve for x
    x = 23,650,988,281.67/198,007.74
  6. Step 6: Final answer
    x = 119,444.77

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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.