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Finding the Fourth Proportional to 203,208.70, 304,813.05 and 123,492.55

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Solution

The fourth proportional to 203,208.70, 304,813.05 and 123,492.55 is: 185,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.70 : 304,813.05 = 123,492.55 : x
  2. Step 2: Convert to fraction form
    203,208.70/304,813.05 = 123,492.55/x
  3. Step 3: Cross multiply
    203,208.70x = 304,813.05 × 123,492.55
  4. Step 4: Simplify right side
    203,208.70x = 37,642,140,817.78
  5. Step 5: Solve for x
    x = 37,642,140,817.78/203,208.70
  6. Step 6: Final answer
    x = 185,238.83

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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.