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Finding the Fourth Proportional to 81,781.96, 122,647.02 and 26,365

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Solution

The fourth proportional to 81,781.96, 122,647.02 and 26,365 is: 39,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,781.96 : 122,647.02 = 26,365 : x
  2. Step 2: Convert to fraction form
    81,781.96/122,647.02 = 26,365/x
  3. Step 3: Cross multiply
    81,781.96x = 122,647.02 × 26,365
  4. Step 4: Simplify right side
    81,781.96x = 3,233,588,682.30
  5. Step 5: Solve for x
    x = 3,233,588,682.30/81,781.96
  6. Step 6: Final answer
    x = 39,539.14

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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.