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Finding the Fourth Proportional to 103,163.83, 154,745.84 and 28,284.59

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Solution

The fourth proportional to 103,163.83, 154,745.84 and 28,284.59 is: 42,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,163.83 : 154,745.84 = 28,284.59 : x
  2. Step 2: Convert to fraction form
    103,163.83/154,745.84 = 28,284.59/x
  3. Step 3: Cross multiply
    103,163.83x = 154,745.84 × 28,284.59
  4. Step 4: Simplify right side
    103,163.83x = 4,376,923,096.18
  5. Step 5: Solve for x
    x = 4,376,923,096.18/103,163.83
  6. Step 6: Final answer
    x = 42,426.92

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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.