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Finding the Fourth Proportional to 198,852.94, 274,417.10 and 109,428.94

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Solution

The fourth proportional to 198,852.94, 274,417.10 and 109,428.94 is: 151,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,852.94 : 274,417.10 = 109,428.94 : x
  2. Step 2: Convert to fraction form
    198,852.94/274,417.10 = 109,428.94/x
  3. Step 3: Cross multiply
    198,852.94x = 274,417.10 × 109,428.94
  4. Step 4: Simplify right side
    198,852.94x = 30,029,171,548.05
  5. Step 5: Solve for x
    x = 30,029,171,548.05/198,852.94
  6. Step 6: Final answer
    x = 151,011.96

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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.