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Finding the Fourth Proportional to 69,709.32, 104,548.30 and 19,788.34

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Solution

The fourth proportional to 69,709.32, 104,548.30 and 19,788.34 is: 29,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.32 : 104,548.30 = 19,788.34 : x
  2. Step 2: Convert to fraction form
    69,709.32/104,548.30 = 19,788.34/x
  3. Step 3: Cross multiply
    69,709.32x = 104,548.30 × 19,788.34
  4. Step 4: Simplify right side
    69,709.32x = 2,068,837,306.82
  5. Step 5: Solve for x
    x = 2,068,837,306.82/69,709.32
  6. Step 6: Final answer
    x = 29,678.06

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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.