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Finding the Fourth Proportional to 198,511.20, 297,702.81 and 65,359.76

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Solution

The fourth proportional to 198,511.20, 297,702.81 and 65,359.76 is: 98,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,511.20 : 297,702.81 = 65,359.76 : x
  2. Step 2: Convert to fraction form
    198,511.20/297,702.81 = 65,359.76/x
  3. Step 3: Cross multiply
    198,511.20x = 297,702.81 × 65,359.76
  4. Step 4: Simplify right side
    198,511.20x = 19,457,784,212.93
  5. Step 5: Solve for x
    x = 19,457,784,212.93/198,511.20
  6. Step 6: Final answer
    x = 98,018.57

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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.