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Finding the Fourth Proportional to 122,783.16, 184,174.74 and 81,220.44

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Solution

The fourth proportional to 122,783.16, 184,174.74 and 81,220.44 is: 121,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,783.16 : 184,174.74 = 81,220.44 : x
  2. Step 2: Convert to fraction form
    122,783.16/184,174.74 = 81,220.44/x
  3. Step 3: Cross multiply
    122,783.16x = 184,174.74 × 81,220.44
  4. Step 4: Simplify right side
    122,783.16x = 14,958,753,419.69
  5. Step 5: Solve for x
    x = 14,958,753,419.69/122,783.16
  6. Step 6: Final answer
    x = 121,830.66

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1.5x scale

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.