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Finding the Fourth Proportional to 256,110.10, 384,165.15 and 122,921.80

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Solution

The fourth proportional to 256,110.10, 384,165.15 and 122,921.80 is: 184,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,110.10 : 384,165.15 = 122,921.80 : x
  2. Step 2: Convert to fraction form
    256,110.10/384,165.15 = 122,921.80/x
  3. Step 3: Cross multiply
    256,110.10x = 384,165.15 × 122,921.80
  4. Step 4: Simplify right side
    256,110.10x = 47,222,271,735.27
  5. Step 5: Solve for x
    x = 47,222,271,735.27/256,110.10
  6. Step 6: Final answer
    x = 184,382.70

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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.