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Finding the Fourth Proportional to 123,246.75, 184,611.43 and 78,244.98

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Solution

The fourth proportional to 123,246.75, 184,611.43 and 78,244.98 is: 117,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,246.75 : 184,611.43 = 78,244.98 : x
  2. Step 2: Convert to fraction form
    123,246.75/184,611.43 = 78,244.98/x
  3. Step 3: Cross multiply
    123,246.75x = 184,611.43 × 78,244.98
  4. Step 4: Simplify right side
    123,246.75x = 14,444,917,648.12
  5. Step 5: Solve for x
    x = 14,444,917,648.12/123,246.75
  6. Step 6: Final answer
    x = 117,203.23

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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.