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Finding the Fourth Proportional to 201,868.70, 302,803.05 and 148,991.90

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Solution

The fourth proportional to 201,868.70, 302,803.05 and 148,991.90 is: 223,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,868.70 : 302,803.05 = 148,991.90 : x
  2. Step 2: Convert to fraction form
    201,868.70/302,803.05 = 148,991.90/x
  3. Step 3: Cross multiply
    201,868.70x = 302,803.05 × 148,991.90
  4. Step 4: Simplify right side
    201,868.70x = 45,115,201,745.30
  5. Step 5: Solve for x
    x = 45,115,201,745.30/201,868.70
  6. Step 6: Final answer
    x = 223,487.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.