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Finding the Fourth Proportional to 198,615.56, 274,094.81 and 107,977.67

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Solution

The fourth proportional to 198,615.56, 274,094.81 and 107,977.67 is: 149,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,615.56 : 274,094.81 = 107,977.67 : x
  2. Step 2: Convert to fraction form
    198,615.56/274,094.81 = 107,977.67/x
  3. Step 3: Cross multiply
    198,615.56x = 274,094.81 × 107,977.67
  4. Step 4: Simplify right side
    198,615.56x = 29,596,117,032.53
  5. Step 5: Solve for x
    x = 29,596,117,032.53/198,615.56
  6. Step 6: Final answer
    x = 149,012.08

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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.