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Finding the Fourth Proportional to 122,896.80, 184,312.40 and 75,805.43

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Solution

The fourth proportional to 122,896.80, 184,312.40 and 75,805.43 is: 113,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,896.80 : 184,312.40 = 75,805.43 : x
  2. Step 2: Convert to fraction form
    122,896.80/184,312.40 = 75,805.43/x
  3. Step 3: Cross multiply
    122,896.80x = 184,312.40 × 75,805.43
  4. Step 4: Simplify right side
    122,896.80x = 13,971,879,435.74
  5. Step 5: Solve for x
    x = 13,971,879,435.74/122,896.80
  6. Step 6: Final answer
    x = 113,687.90

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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.