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Finding the Fourth Proportional to 203,296, 280,548.50 and 123,808

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Solution

The fourth proportional to 203,296, 280,548.50 and 123,808 is: 170,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,296 : 280,548.50 = 123,808 : x
  2. Step 2: Convert to fraction form
    203,296/280,548.50 = 123,808/x
  3. Step 3: Cross multiply
    203,296x = 280,548.50 × 123,808
  4. Step 4: Simplify right side
    203,296x = 34,734,148,688
  5. Step 5: Solve for x
    x = 34,734,148,688/203,296
  6. Step 6: Final answer
    x = 170,855.05

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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.