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Finding the Fourth Proportional to 69,536, 103,409.46 and 67,321.74

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Solution

The fourth proportional to 69,536, 103,409.46 and 67,321.74 is: 100,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,536 : 103,409.46 = 67,321.74 : x
  2. Step 2: Convert to fraction form
    69,536/103,409.46 = 67,321.74/x
  3. Step 3: Cross multiply
    69,536x = 103,409.46 × 67,321.74
  4. Step 4: Simplify right side
    69,536x = 6,961,704,779.66
  5. Step 5: Solve for x
    x = 6,961,704,779.66/69,536
  6. Step 6: Final answer
    x = 100,116.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.