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Finding the Fourth Proportional to 78,300, 117,467.28 and 29,052

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Solution

The fourth proportional to 78,300, 117,467.28 and 29,052 is: 43,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,300 : 117,467.28 = 29,052 : x
  2. Step 2: Convert to fraction form
    78,300/117,467.28 = 29,052/x
  3. Step 3: Cross multiply
    78,300x = 117,467.28 × 29,052
  4. Step 4: Simplify right side
    78,300x = 3,412,659,418.56
  5. Step 5: Solve for x
    x = 3,412,659,418.56/78,300
  6. Step 6: Final answer
    x = 43,584.41

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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.