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Finding the Fourth Proportional to 81,323.55, 122,003.55 and 31,399.20

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Solution

The fourth proportional to 81,323.55, 122,003.55 and 31,399.20 is: 47,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,323.55 : 122,003.55 = 31,399.20 : x
  2. Step 2: Convert to fraction form
    81,323.55/122,003.55 = 31,399.20/x
  3. Step 3: Cross multiply
    81,323.55x = 122,003.55 × 31,399.20
  4. Step 4: Simplify right side
    81,323.55x = 3,830,813,867.16
  5. Step 5: Solve for x
    x = 3,830,813,867.16/81,323.55
  6. Step 6: Final answer
    x = 47,105.84

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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.