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Finding the Fourth Proportional to 256,825.96, 385,309.80 and 107,136.60

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Solution

The fourth proportional to 256,825.96, 385,309.80 and 107,136.60 is: 160,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,825.96 : 385,309.80 = 107,136.60 : x
  2. Step 2: Convert to fraction form
    256,825.96/385,309.80 = 107,136.60/x
  3. Step 3: Cross multiply
    256,825.96x = 385,309.80 × 107,136.60
  4. Step 4: Simplify right side
    256,825.96x = 41,280,781,918.68
  5. Step 5: Solve for x
    x = 41,280,781,918.68/256,825.96
  6. Step 6: Final answer
    x = 160,734.46

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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.