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Finding the Fourth Proportional to 256,099.20, 384,148.80 and 78,606.60

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Solution

The fourth proportional to 256,099.20, 384,148.80 and 78,606.60 is: 117,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.20 : 384,148.80 = 78,606.60 : x
  2. Step 2: Convert to fraction form
    256,099.20/384,148.80 = 78,606.60/x
  3. Step 3: Cross multiply
    256,099.20x = 384,148.80 × 78,606.60
  4. Step 4: Simplify right side
    256,099.20x = 30,196,631,062.08
  5. Step 5: Solve for x
    x = 30,196,631,062.08/256,099.20
  6. Step 6: Final answer
    x = 117,909.90

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1.5x scale

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.