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Finding the Fourth Proportional to 256,099.10, 384,148.65 and 108,335.90

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Solution

The fourth proportional to 256,099.10, 384,148.65 and 108,335.90 is: 162,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.10 : 384,148.65 = 108,335.90 : x
  2. Step 2: Convert to fraction form
    256,099.10/384,148.65 = 108,335.90/x
  3. Step 3: Cross multiply
    256,099.10x = 384,148.65 × 108,335.90
  4. Step 4: Simplify right side
    256,099.10x = 41,617,089,731.54
  5. Step 5: Solve for x
    x = 41,617,089,731.54/256,099.10
  6. Step 6: Final answer
    x = 162,503.85

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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.