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Finding the Fourth Proportional to 69,434, 104,155.86 and 27,881

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Solution

The fourth proportional to 69,434, 104,155.86 and 27,881 is: 41,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,434 : 104,155.86 = 27,881 : x
  2. Step 2: Convert to fraction form
    69,434/104,155.86 = 27,881/x
  3. Step 3: Cross multiply
    69,434x = 104,155.86 × 27,881
  4. Step 4: Simplify right side
    69,434x = 2,903,969,532.66
  5. Step 5: Solve for x
    x = 2,903,969,532.66/69,434
  6. Step 6: Final answer
    x = 41,823.45

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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.