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Finding the Fourth Proportional to 256,658, 384,987 and 106,968.80

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Solution

The fourth proportional to 256,658, 384,987 and 106,968.80 is: 160,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,658 : 384,987 = 106,968.80 : x
  2. Step 2: Convert to fraction form
    256,658/384,987 = 106,968.80/x
  3. Step 3: Cross multiply
    256,658x = 384,987 × 106,968.80
  4. Step 4: Simplify right side
    256,658x = 41,181,597,405.60
  5. Step 5: Solve for x
    x = 41,181,597,405.60/256,658
  6. Step 6: Final answer
    x = 160,453.20

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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.