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Finding the Fourth Proportional to 81,802.16, 122,021.89 and 80,447.44

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Solution

The fourth proportional to 81,802.16, 122,021.89 and 80,447.44 is: 120,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.16 : 122,021.89 = 80,447.44 : x
  2. Step 2: Convert to fraction form
    81,802.16/122,021.89 = 80,447.44/x
  3. Step 3: Cross multiply
    81,802.16x = 122,021.89 × 80,447.44
  4. Step 4: Simplify right side
    81,802.16x = 9,816,348,064.35
  5. Step 5: Solve for x
    x = 9,816,348,064.35/81,802.16
  6. Step 6: Final answer
    x = 120,001.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.