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Finding the Fourth Proportional to 78,576, 117,706.32 and 39,013.44

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Solution

The fourth proportional to 78,576, 117,706.32 and 39,013.44 is: 58,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576 : 117,706.32 = 39,013.44 : x
  2. Step 2: Convert to fraction form
    78,576/117,706.32 = 39,013.44/x
  3. Step 3: Cross multiply
    78,576x = 117,706.32 × 39,013.44
  4. Step 4: Simplify right side
    78,576x = 4,592,128,452.94
  5. Step 5: Solve for x
    x = 4,592,128,452.94/78,576
  6. Step 6: Final answer
    x = 58,441.87

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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.