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Finding the Fourth Proportional to 122,963.60, 184,445.40 and 39,857.60

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Solution

The fourth proportional to 122,963.60, 184,445.40 and 39,857.60 is: 59,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,963.60 : 184,445.40 = 39,857.60 : x
  2. Step 2: Convert to fraction form
    122,963.60/184,445.40 = 39,857.60/x
  3. Step 3: Cross multiply
    122,963.60x = 184,445.40 × 39,857.60
  4. Step 4: Simplify right side
    122,963.60x = 7,351,550,975.04
  5. Step 5: Solve for x
    x = 7,351,550,975.04/122,963.60
  6. Step 6: Final answer
    x = 59,786.40

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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.