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Finding the Fourth Proportional to 69,741.84, 104,662.16 and 30,310.48

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Solution

The fourth proportional to 69,741.84, 104,662.16 and 30,310.48 is: 45,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,741.84 : 104,662.16 = 30,310.48 : x
  2. Step 2: Convert to fraction form
    69,741.84/104,662.16 = 30,310.48/x
  3. Step 3: Cross multiply
    69,741.84x = 104,662.16 × 30,310.48
  4. Step 4: Simplify right side
    69,741.84x = 3,172,360,307.44
  5. Step 5: Solve for x
    x = 3,172,360,307.44/69,741.84
  6. Step 6: Final answer
    x = 45,487.19

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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.