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Finding the Fourth Proportional to 218,745.28, 301,868.46 and 118,143.28

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Solution

The fourth proportional to 218,745.28, 301,868.46 and 118,143.28 is: 163,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,745.28 : 301,868.46 = 118,143.28 : x
  2. Step 2: Convert to fraction form
    218,745.28/301,868.46 = 118,143.28/x
  3. Step 3: Cross multiply
    218,745.28x = 301,868.46 × 118,143.28
  4. Step 4: Simplify right side
    218,745.28x = 35,663,729,992.95
  5. Step 5: Solve for x
    x = 35,663,729,992.95/218,745.28
  6. Step 6: Final answer
    x = 163,037.71

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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.