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Finding the Fourth Proportional to 45,843.60, 68,725.40 and 17,782.80

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Solution

The fourth proportional to 45,843.60, 68,725.40 and 17,782.80 is: 26,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,843.60 : 68,725.40 = 17,782.80 : x
  2. Step 2: Convert to fraction form
    45,843.60/68,725.40 = 17,782.80/x
  3. Step 3: Cross multiply
    45,843.60x = 68,725.40 × 17,782.80
  4. Step 4: Simplify right side
    45,843.60x = 1,222,130,043.12
  5. Step 5: Solve for x
    x = 1,222,130,043.12/45,843.60
  6. Step 6: Final answer
    x = 26,658.68

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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.