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Finding the Fourth Proportional to 69,432, 104,152.86 and 27,879

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Solution

The fourth proportional to 69,432, 104,152.86 and 27,879 is: 41,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,432 : 104,152.86 = 27,879 : x
  2. Step 2: Convert to fraction form
    69,432/104,152.86 = 27,879/x
  3. Step 3: Cross multiply
    69,432x = 104,152.86 × 27,879
  4. Step 4: Simplify right side
    69,432x = 2,903,677,583.94
  5. Step 5: Solve for x
    x = 2,903,677,583.94/69,432
  6. Step 6: Final answer
    x = 41,820.45

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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.