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Finding the Fourth Proportional to 81,858.40, 122,816.40 and 40,277.60

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Solution

The fourth proportional to 81,858.40, 122,816.40 and 40,277.60 is: 60,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858.40 : 122,816.40 = 40,277.60 : x
  2. Step 2: Convert to fraction form
    81,858.40/122,816.40 = 40,277.60/x
  3. Step 3: Cross multiply
    81,858.40x = 122,816.40 × 40,277.60
  4. Step 4: Simplify right side
    81,858.40x = 4,946,749,832.64
  5. Step 5: Solve for x
    x = 4,946,749,832.64/81,858.40
  6. Step 6: Final answer
    x = 60,430.57

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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.