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Finding the Fourth Proportional to 198,862.88, 274,430.81 and 109,438.88

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Solution

The fourth proportional to 198,862.88, 274,430.81 and 109,438.88 is: 151,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,862.88 : 274,430.81 = 109,438.88 : x
  2. Step 2: Convert to fraction form
    198,862.88/274,430.81 = 109,438.88/x
  3. Step 3: Cross multiply
    198,862.88x = 274,430.81 × 109,438.88
  4. Step 4: Simplify right side
    198,862.88x = 30,033,399,385.34
  5. Step 5: Solve for x
    x = 30,033,399,385.34/198,862.88
  6. Step 6: Final answer
    x = 151,025.67

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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.