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Finding the Fourth Proportional to 256,857.66, 354,463.89 and 142,141.08

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Solution

The fourth proportional to 256,857.66, 354,463.89 and 142,141.08 is: 196,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.66 : 354,463.89 = 142,141.08 : x
  2. Step 2: Convert to fraction form
    256,857.66/354,463.89 = 142,141.08/x
  3. Step 3: Cross multiply
    256,857.66x = 354,463.89 × 142,141.08
  4. Step 4: Simplify right side
    256,857.66x = 50,383,880,145.60
  5. Step 5: Solve for x
    x = 50,383,880,145.60/256,857.66
  6. Step 6: Final answer
    x = 196,154.87

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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.