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Finding the Fourth Proportional to 198,896.54, 298,354.64 and 56,762.76

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Solution

The fourth proportional to 198,896.54, 298,354.64 and 56,762.76 is: 85,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,896.54 : 298,354.64 = 56,762.76 : x
  2. Step 2: Convert to fraction form
    198,896.54/298,354.64 = 56,762.76/x
  3. Step 3: Cross multiply
    198,896.54x = 298,354.64 × 56,762.76
  4. Step 4: Simplify right side
    198,896.54x = 16,935,432,825.21
  5. Step 5: Solve for x
    x = 16,935,432,825.21/198,896.54
  6. Step 6: Final answer
    x = 85,146.95

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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.