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Finding the Fourth Proportional to 203,647.06, 305,513.57 and 61,503.00

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Solution

The fourth proportional to 203,647.06, 305,513.57 and 61,503.00 is: 92,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,647.06 : 305,513.57 = 61,503.00 : x
  2. Step 2: Convert to fraction form
    203,647.06/305,513.57 = 61,503.00/x
  3. Step 3: Cross multiply
    203,647.06x = 305,513.57 × 61,503.00
  4. Step 4: Simplify right side
    203,647.06x = 18,790,000,103.79
  5. Step 5: Solve for x
    x = 18,790,000,103.79/203,647.06
  6. Step 6: Final answer
    x = 92,267.47

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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.