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Finding the Fourth Proportional to 133,911.25, 184,884.10 and 82,978.03

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Solution

The fourth proportional to 133,911.25, 184,884.10 and 82,978.03 is: 114,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911.25 : 184,884.10 = 82,978.03 : x
  2. Step 2: Convert to fraction form
    133,911.25/184,884.10 = 82,978.03/x
  3. Step 3: Cross multiply
    133,911.25x = 184,884.10 × 82,978.03
  4. Step 4: Simplify right side
    133,911.25x = 15,341,317,981.43
  5. Step 5: Solve for x
    x = 15,341,317,981.43/133,911.25
  6. Step 6: Final answer
    x = 114,563.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.