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Finding the Fourth Proportional to 198,647.66, 274,138.98 and 108,009.74

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Solution

The fourth proportional to 198,647.66, 274,138.98 and 108,009.74 is: 149,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,647.66 : 274,138.98 = 108,009.74 : x
  2. Step 2: Convert to fraction form
    198,647.66/274,138.98 = 108,009.74/x
  3. Step 3: Cross multiply
    198,647.66x = 274,138.98 × 108,009.74
  4. Step 4: Simplify right side
    198,647.66x = 29,609,679,953.67
  5. Step 5: Solve for x
    x = 29,609,679,953.67/198,647.66
  6. Step 6: Final answer
    x = 149,056.27

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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.