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Finding the Fourth Proportional to 81,890.40, 122,763.60 and 55,509.60

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Solution

The fourth proportional to 81,890.40, 122,763.60 and 55,509.60 is: 83,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,890.40 : 122,763.60 = 55,509.60 : x
  2. Step 2: Convert to fraction form
    81,890.40/122,763.60 = 55,509.60/x
  3. Step 3: Cross multiply
    81,890.40x = 122,763.60 × 55,509.60
  4. Step 4: Simplify right side
    81,890.40x = 6,814,558,330.56
  5. Step 5: Solve for x
    x = 6,814,558,330.56/81,890.40
  6. Step 6: Final answer
    x = 83,215.59

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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.