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Finding the Fourth Proportional to 198,978.98, 274,589.34 and 108,334.77

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Solution

The fourth proportional to 198,978.98, 274,589.34 and 108,334.77 is: 149,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,978.98 : 274,589.34 = 108,334.77 : x
  2. Step 2: Convert to fraction form
    198,978.98/274,589.34 = 108,334.77/x
  3. Step 3: Cross multiply
    198,978.98x = 274,589.34 × 108,334.77
  4. Step 4: Simplify right side
    198,978.98x = 29,747,572,166.77
  5. Step 5: Solve for x
    x = 29,747,572,166.77/198,978.98
  6. Step 6: Final answer
    x = 149,501.08

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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.