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Finding the Fourth Proportional to 256,099.60, 384,136.60 and 131,453.20

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Solution

The fourth proportional to 256,099.60, 384,136.60 and 131,453.20 is: 197,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.60 : 384,136.60 = 131,453.20 : x
  2. Step 2: Convert to fraction form
    256,099.60/384,136.60 = 131,453.20/x
  3. Step 3: Cross multiply
    256,099.60x = 384,136.60 × 131,453.20
  4. Step 4: Simplify right side
    256,099.60x = 50,495,985,307.12
  5. Step 5: Solve for x
    x = 50,495,985,307.12/256,099.60
  6. Step 6: Final answer
    x = 197,173.23

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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.