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Finding the Fourth Proportional to 78,576, 117,896.16 and 34,179.84

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Solution

The fourth proportional to 78,576, 117,896.16 and 34,179.84 is: 51,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576 : 117,896.16 = 34,179.84 : x
  2. Step 2: Convert to fraction form
    78,576/117,896.16 = 34,179.84/x
  3. Step 3: Cross multiply
    78,576x = 117,896.16 × 34,179.84
  4. Step 4: Simplify right side
    78,576x = 4,029,671,885.41
  5. Step 5: Solve for x
    x = 4,029,671,885.41/78,576
  6. Step 6: Final answer
    x = 51,283.75

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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.