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Finding the Fourth Proportional to 122,880.50, 184,350 and 39,774.50

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Solution

The fourth proportional to 122,880.50, 184,350 and 39,774.50 is: 59,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,880.50 : 184,350 = 39,774.50 : x
  2. Step 2: Convert to fraction form
    122,880.50/184,350 = 39,774.50/x
  3. Step 3: Cross multiply
    122,880.50x = 184,350 × 39,774.50
  4. Step 4: Simplify right side
    122,880.50x = 7,332,429,075
  5. Step 5: Solve for x
    x = 7,332,429,075/122,880.50
  6. Step 6: Final answer
    x = 59,671.22

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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.