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Finding the Fourth Proportional to 223,695.21, 308,704.52 and 126,905.54

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Solution

The fourth proportional to 223,695.21, 308,704.52 and 126,905.54 is: 175,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,695.21 : 308,704.52 = 126,905.54 : x
  2. Step 2: Convert to fraction form
    223,695.21/308,704.52 = 126,905.54/x
  3. Step 3: Cross multiply
    223,695.21x = 308,704.52 × 126,905.54
  4. Step 4: Simplify right side
    223,695.21x = 39,176,314,900.07
  5. Step 5: Solve for x
    x = 39,176,314,900.07/223,695.21
  6. Step 6: Final answer
    x = 175,132.56

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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.