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Finding the Fourth Proportional to 198,859.84, 274,426.50 and 109,435.84

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Solution

The fourth proportional to 198,859.84, 274,426.50 and 109,435.84 is: 151,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,859.84 : 274,426.50 = 109,435.84 : x
  2. Step 2: Convert to fraction form
    198,859.84/274,426.50 = 109,435.84/x
  3. Step 3: Cross multiply
    198,859.84x = 274,426.50 × 109,435.84
  4. Step 4: Simplify right side
    198,859.84x = 30,032,094,545.76
  5. Step 5: Solve for x
    x = 30,032,094,545.76/198,859.84
  6. Step 6: Final answer
    x = 151,021.42

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1.5x scale

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.