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Finding the Fourth Proportional to 69,687.84, 104,546.61 and 19,783.20

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Solution

The fourth proportional to 69,687.84, 104,546.61 and 19,783.20 is: 29,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,687.84 : 104,546.61 = 19,783.20 : x
  2. Step 2: Convert to fraction form
    69,687.84/104,546.61 = 19,783.20/x
  3. Step 3: Cross multiply
    69,687.84x = 104,546.61 × 19,783.20
  4. Step 4: Simplify right side
    69,687.84x = 2,068,266,494.95
  5. Step 5: Solve for x
    x = 2,068,266,494.95/69,687.84
  6. Step 6: Final answer
    x = 29,679.02

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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.