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Finding the Fourth Proportional to 256,161.90, 384,352.20 and 122,973.60

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Solution

The fourth proportional to 256,161.90, 384,352.20 and 122,973.60 is: 184,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,161.90 : 384,352.20 = 122,973.60 : x
  2. Step 2: Convert to fraction form
    256,161.90/384,352.20 = 122,973.60/x
  3. Step 3: Cross multiply
    256,161.90x = 384,352.20 × 122,973.60
  4. Step 4: Simplify right side
    256,161.90x = 47,265,173,701.92
  5. Step 5: Solve for x
    x = 47,265,173,701.92/256,161.90
  6. Step 6: Final answer
    x = 184,512.89

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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.