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Finding the Fourth Proportional to 256,722.38, 354,159 and 166,107.88

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Solution

The fourth proportional to 256,722.38, 354,159 and 166,107.88 is: 229,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.38 : 354,159 = 166,107.88 : x
  2. Step 2: Convert to fraction form
    256,722.38/354,159 = 166,107.88/x
  3. Step 3: Cross multiply
    256,722.38x = 354,159 × 166,107.88
  4. Step 4: Simplify right side
    256,722.38x = 58,828,598,902.13
  5. Step 5: Solve for x
    x = 58,828,598,902.13/256,722.38
  6. Step 6: Final answer
    x = 229,152.60

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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.