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Finding the Fourth Proportional to 69,258.94, 103,806.36 and 31,787.44

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Solution

The fourth proportional to 69,258.94, 103,806.36 and 31,787.44 is: 47,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,258.94 : 103,806.36 = 31,787.44 : x
  2. Step 2: Convert to fraction form
    69,258.94/103,806.36 = 31,787.44/x
  3. Step 3: Cross multiply
    69,258.94x = 103,806.36 × 31,787.44
  4. Step 4: Simplify right side
    69,258.94x = 3,299,738,440.12
  5. Step 5: Solve for x
    x = 3,299,738,440.12/69,258.94
  6. Step 6: Final answer
    x = 47,643.50

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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.