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Finding the Fourth Proportional to 81,409.30, 122,135.55 and 28,813.30

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Solution

The fourth proportional to 81,409.30, 122,135.55 and 28,813.30 is: 43,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.30 : 122,135.55 = 28,813.30 : x
  2. Step 2: Convert to fraction form
    81,409.30/122,135.55 = 28,813.30/x
  3. Step 3: Cross multiply
    81,409.30x = 122,135.55 × 28,813.30
  4. Step 4: Simplify right side
    81,409.30x = 3,519,128,242.82
  5. Step 5: Solve for x
    x = 3,519,128,242.82/81,409.30
  6. Step 6: Final answer
    x = 43,227.59

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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.