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Finding the Fourth Proportional to 256,821.88, 354,405.63 and 142,100.74

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Solution

The fourth proportional to 256,821.88, 354,405.63 and 142,100.74 is: 196,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,821.88 : 354,405.63 = 142,100.74 : x
  2. Step 2: Convert to fraction form
    256,821.88/354,405.63 = 142,100.74/x
  3. Step 3: Cross multiply
    256,821.88x = 354,405.63 × 142,100.74
  4. Step 4: Simplify right side
    256,821.88x = 50,361,302,958.12
  5. Step 5: Solve for x
    x = 50,361,302,958.12/256,821.88
  6. Step 6: Final answer
    x = 196,094.29

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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.