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Finding the Fourth Proportional to 198,611.85, 274,089.72 and 107,973.91

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Solution

The fourth proportional to 198,611.85, 274,089.72 and 107,973.91 is: 149,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,611.85 : 274,089.72 = 107,973.91 : x
  2. Step 2: Convert to fraction form
    198,611.85/274,089.72 = 107,973.91/x
  3. Step 3: Cross multiply
    198,611.85x = 274,089.72 × 107,973.91
  4. Step 4: Simplify right side
    198,611.85x = 29,594,539,506.72
  5. Step 5: Solve for x
    x = 29,594,539,506.72/198,611.85
  6. Step 6: Final answer
    x = 149,006.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.