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Finding the Fourth Proportional to 203,655.67, 305,706.98 and 161,804.77

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Solution

The fourth proportional to 203,655.67, 305,706.98 and 161,804.77 is: 242,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,655.67 : 305,706.98 = 161,804.77 : x
  2. Step 2: Convert to fraction form
    203,655.67/305,706.98 = 161,804.77/x
  3. Step 3: Cross multiply
    203,655.67x = 305,706.98 × 161,804.77
  4. Step 4: Simplify right side
    203,655.67x = 49,464,847,586.29
  5. Step 5: Solve for x
    x = 49,464,847,586.29/203,655.67
  6. Step 6: Final answer
    x = 242,884.71

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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.