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Finding the Fourth Proportional to 81,782.90, 122,690.80 and 29,191.02

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Solution

The fourth proportional to 81,782.90, 122,690.80 and 29,191.02 is: 43,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782.90 : 122,690.80 = 29,191.02 : x
  2. Step 2: Convert to fraction form
    81,782.90/122,690.80 = 29,191.02/x
  3. Step 3: Cross multiply
    81,782.90x = 122,690.80 × 29,191.02
  4. Step 4: Simplify right side
    81,782.90x = 3,581,469,173.01
  5. Step 5: Solve for x
    x = 3,581,469,173.01/81,782.90
  6. Step 6: Final answer
    x = 43,792.40

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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.