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Finding the Fourth Proportional to 123,289.80, 184,466.70 and 81,817.80

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Solution

The fourth proportional to 123,289.80, 184,466.70 and 81,817.80 is: 122,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,289.80 : 184,466.70 = 81,817.80 : x
  2. Step 2: Convert to fraction form
    123,289.80/184,466.70 = 81,817.80/x
  3. Step 3: Cross multiply
    123,289.80x = 184,466.70 × 81,817.80
  4. Step 4: Simplify right side
    123,289.80x = 15,092,659,567.26
  5. Step 5: Solve for x
    x = 15,092,659,567.26/123,289.80
  6. Step 6: Final answer
    x = 122,416.12

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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.