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Finding the Fourth Proportional to 122,965.80, 184,448.70 and 87,714.60

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Solution

The fourth proportional to 122,965.80, 184,448.70 and 87,714.60 is: 131,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,965.80 : 184,448.70 = 87,714.60 : x
  2. Step 2: Convert to fraction form
    122,965.80/184,448.70 = 87,714.60/x
  3. Step 3: Cross multiply
    122,965.80x = 184,448.70 × 87,714.60
  4. Step 4: Simplify right side
    122,965.80x = 16,178,843,941.02
  5. Step 5: Solve for x
    x = 16,178,843,941.02/122,965.80
  6. Step 6: Final answer
    x = 131,571.90

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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.