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Finding the Fourth Proportional to 69,907, 104,824.86 and 23,143

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Solution

The fourth proportional to 69,907, 104,824.86 and 23,143 is: 34,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,907 : 104,824.86 = 23,143 : x
  2. Step 2: Convert to fraction form
    69,907/104,824.86 = 23,143/x
  3. Step 3: Cross multiply
    69,907x = 104,824.86 × 23,143
  4. Step 4: Simplify right side
    69,907x = 2,425,961,734.98
  5. Step 5: Solve for x
    x = 2,425,961,734.98/69,907
  6. Step 6: Final answer
    x = 34,702.70

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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.