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Finding the Fourth Proportional to 198,696.80, 298,045.20 and 105,384.80

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Solution

The fourth proportional to 198,696.80, 298,045.20 and 105,384.80 is: 158,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,696.80 : 298,045.20 = 105,384.80 : x
  2. Step 2: Convert to fraction form
    198,696.80/298,045.20 = 105,384.80/x
  3. Step 3: Cross multiply
    198,696.80x = 298,045.20 × 105,384.80
  4. Step 4: Simplify right side
    198,696.80x = 31,409,433,792.96
  5. Step 5: Solve for x
    x = 31,409,433,792.96/198,696.80
  6. Step 6: Final answer
    x = 158,077.20

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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.