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Finding the Fourth Proportional to 69,704.81, 104,541.54 and 19,783.85

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Solution

The fourth proportional to 69,704.81, 104,541.54 and 19,783.85 is: 29,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,704.81 : 104,541.54 = 19,783.85 : x
  2. Step 2: Convert to fraction form
    69,704.81/104,541.54 = 19,783.85/x
  3. Step 3: Cross multiply
    69,704.81x = 104,541.54 × 19,783.85
  4. Step 4: Simplify right side
    69,704.81x = 2,068,234,146.13
  5. Step 5: Solve for x
    x = 2,068,234,146.13/69,704.81
  6. Step 6: Final answer
    x = 29,671.33

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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.