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Finding the Fourth Proportional to 69,708.32, 104,546.80 and 19,787.34

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Solution

The fourth proportional to 69,708.32, 104,546.80 and 19,787.34 is: 29,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708.32 : 104,546.80 = 19,787.34 : x
  2. Step 2: Convert to fraction form
    69,708.32/104,546.80 = 19,787.34/x
  3. Step 3: Cross multiply
    69,708.32x = 104,546.80 × 19,787.34
  4. Step 4: Simplify right side
    69,708.32x = 2,068,703,077.51
  5. Step 5: Solve for x
    x = 2,068,703,077.51/69,708.32
  6. Step 6: Final answer
    x = 29,676.56

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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.