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Finding the Fourth Proportional to 198,611.56, 274,089.29 and 107,973.67

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Solution

The fourth proportional to 198,611.56, 274,089.29 and 107,973.67 is: 149,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,611.56 : 274,089.29 = 107,973.67 : x
  2. Step 2: Convert to fraction form
    198,611.56/274,089.29 = 107,973.67/x
  3. Step 3: Cross multiply
    198,611.56x = 274,089.29 × 107,973.67
  4. Step 4: Simplify right side
    198,611.56x = 29,594,426,548.99
  5. Step 5: Solve for x
    x = 29,594,426,548.99/198,611.56
  6. Step 6: Final answer
    x = 149,006.57

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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.