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Finding the Fourth Proportional to 256,138.80, 384,177.96 and 69,164.88

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Solution

The fourth proportional to 256,138.80, 384,177.96 and 69,164.88 is: 103,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138.80 : 384,177.96 = 69,164.88 : x
  2. Step 2: Convert to fraction form
    256,138.80/384,177.96 = 69,164.88/x
  3. Step 3: Cross multiply
    256,138.80x = 384,177.96 × 69,164.88
  4. Step 4: Simplify right side
    256,138.80x = 26,571,622,502.04
  5. Step 5: Solve for x
    x = 26,571,622,502.04/256,138.80
  6. Step 6: Final answer
    x = 103,739.15

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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.