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Finding the Fourth Proportional to 69,534, 103,406.49 and 67,319.73

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Solution

The fourth proportional to 69,534, 103,406.49 and 67,319.73 is: 100,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,534 : 103,406.49 = 67,319.73 : x
  2. Step 2: Convert to fraction form
    69,534/103,406.49 = 67,319.73/x
  3. Step 3: Cross multiply
    69,534x = 103,406.49 × 67,319.73
  4. Step 4: Simplify right side
    69,534x = 6,961,296,987.05
  5. Step 5: Solve for x
    x = 6,961,296,987.05/69,534
  6. Step 6: Final answer
    x = 100,113.57

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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.