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Finding the Fourth Proportional to 69,342.72, 104,018.40 and 27,784.32

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Solution

The fourth proportional to 69,342.72, 104,018.40 and 27,784.32 is: 41,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,342.72 : 104,018.40 = 27,784.32 : x
  2. Step 2: Convert to fraction form
    69,342.72/104,018.40 = 27,784.32/x
  3. Step 3: Cross multiply
    69,342.72x = 104,018.40 × 27,784.32
  4. Step 4: Simplify right side
    69,342.72x = 2,890,080,511.49
  5. Step 5: Solve for x
    x = 2,890,080,511.49/69,342.72
  6. Step 6: Final answer
    x = 41,678.21

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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.