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Finding the Fourth Proportional to 198,894.29, 298,351.26 and 56,760.51

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Solution

The fourth proportional to 198,894.29, 298,351.26 and 56,760.51 is: 85,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,894.29 : 298,351.26 = 56,760.51 : x
  2. Step 2: Convert to fraction form
    198,894.29/298,351.26 = 56,760.51/x
  3. Step 3: Cross multiply
    198,894.29x = 298,351.26 × 56,760.51
  4. Step 4: Simplify right side
    198,894.29x = 16,934,569,616.71
  5. Step 5: Solve for x
    x = 16,934,569,616.71/198,894.29
  6. Step 6: Final answer
    x = 85,143.57

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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.