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Finding the Fourth Proportional to 81,647.40, 122,482.26 and 29,044.20

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Solution

The fourth proportional to 81,647.40, 122,482.26 and 29,044.20 is: 43,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,647.40 : 122,482.26 = 29,044.20 : x
  2. Step 2: Convert to fraction form
    81,647.40/122,482.26 = 29,044.20/x
  3. Step 3: Cross multiply
    81,647.40x = 122,482.26 × 29,044.20
  4. Step 4: Simplify right side
    81,647.40x = 3,557,399,255.89
  5. Step 5: Solve for x
    x = 3,557,399,255.89/81,647.40
  6. Step 6: Final answer
    x = 43,570.27

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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.