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Finding the Fourth Proportional to 69,941.85, 104,943.78 and 36,654

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Solution

The fourth proportional to 69,941.85, 104,943.78 and 36,654 is: 54,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,941.85 : 104,943.78 = 36,654 : x
  2. Step 2: Convert to fraction form
    69,941.85/104,943.78 = 36,654/x
  3. Step 3: Cross multiply
    69,941.85x = 104,943.78 × 36,654
  4. Step 4: Simplify right side
    69,941.85x = 3,846,609,312.12
  5. Step 5: Solve for x
    x = 3,846,609,312.12/69,941.85
  6. Step 6: Final answer
    x = 54,997.25

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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.