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Finding the Fourth Proportional to 223,868.21, 308,840.04 and 147,288.78

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Solution

The fourth proportional to 223,868.21, 308,840.04 and 147,288.78 is: 203,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,868.21 : 308,840.04 = 147,288.78 : x
  2. Step 2: Convert to fraction form
    223,868.21/308,840.04 = 147,288.78/x
  3. Step 3: Cross multiply
    223,868.21x = 308,840.04 × 147,288.78
  4. Step 4: Simplify right side
    223,868.21x = 45,488,672,706.75
  5. Step 5: Solve for x
    x = 45,488,672,706.75/223,868.21
  6. Step 6: Final answer
    x = 203,193.99

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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.