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Finding the Fourth Proportional to 122,974.80, 184,462.20 and 39,868.80

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Solution

The fourth proportional to 122,974.80, 184,462.20 and 39,868.80 is: 59,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,974.80 : 184,462.20 = 39,868.80 : x
  2. Step 2: Convert to fraction form
    122,974.80/184,462.20 = 39,868.80/x
  3. Step 3: Cross multiply
    122,974.80x = 184,462.20 × 39,868.80
  4. Step 4: Simplify right side
    122,974.80x = 7,354,286,559.36
  5. Step 5: Solve for x
    x = 7,354,286,559.36/122,974.80
  6. Step 6: Final answer
    x = 59,803.20

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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.