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Finding the Fourth Proportional to 81,777.96, 122,641.02 and 26,361

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Solution

The fourth proportional to 81,777.96, 122,641.02 and 26,361 is: 39,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.96 : 122,641.02 = 26,361 : x
  2. Step 2: Convert to fraction form
    81,777.96/122,641.02 = 26,361/x
  3. Step 3: Cross multiply
    81,777.96x = 122,641.02 × 26,361
  4. Step 4: Simplify right side
    81,777.96x = 3,232,939,928.22
  5. Step 5: Solve for x
    x = 3,232,939,928.22/81,777.96
  6. Step 6: Final answer
    x = 39,533.14

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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.