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Finding the Fourth Proportional to 259,037.28, 388,325.40 and 101,229.84

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Solution

The fourth proportional to 259,037.28, 388,325.40 and 101,229.84 is: 151,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,037.28 : 388,325.40 = 101,229.84 : x
  2. Step 2: Convert to fraction form
    259,037.28/388,325.40 = 101,229.84/x
  3. Step 3: Cross multiply
    259,037.28x = 388,325.40 × 101,229.84
  4. Step 4: Simplify right side
    259,037.28x = 39,310,118,109.94
  5. Step 5: Solve for x
    x = 39,310,118,109.94/259,037.28
  6. Step 6: Final answer
    x = 151,754.67

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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.