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Finding the Fourth Proportional to 198,601.80, 297,902.70 and 105,289.80

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Solution

The fourth proportional to 198,601.80, 297,902.70 and 105,289.80 is: 157,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,601.80 : 297,902.70 = 105,289.80 : x
  2. Step 2: Convert to fraction form
    198,601.80/297,902.70 = 105,289.80/x
  3. Step 3: Cross multiply
    198,601.80x = 297,902.70 × 105,289.80
  4. Step 4: Simplify right side
    198,601.80x = 31,366,115,702.46
  5. Step 5: Solve for x
    x = 31,366,115,702.46/198,601.80
  6. Step 6: Final answer
    x = 157,934.70

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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.