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Finding the Fourth Proportional to 256,966.66, 354,611.85 and 142,245.53

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Solution

The fourth proportional to 256,966.66, 354,611.85 and 142,245.53 is: 196,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,966.66 : 354,611.85 = 142,245.53 : x
  2. Step 2: Convert to fraction form
    256,966.66/354,611.85 = 142,245.53/x
  3. Step 3: Cross multiply
    256,966.66x = 354,611.85 × 142,245.53
  4. Step 4: Simplify right side
    256,966.66x = 50,441,948,063.24
  5. Step 5: Solve for x
    x = 50,441,948,063.24/256,966.66
  6. Step 6: Final answer
    x = 196,297.64

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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.