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Finding the Fourth Proportional to 256,111.80, 384,167.70 and 122,959.95

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Solution

The fourth proportional to 256,111.80, 384,167.70 and 122,959.95 is: 184,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.80 : 384,167.70 = 122,959.95 : x
  2. Step 2: Convert to fraction form
    256,111.80/384,167.70 = 122,959.95/x
  3. Step 3: Cross multiply
    256,111.80x = 384,167.70 × 122,959.95
  4. Step 4: Simplify right side
    256,111.80x = 47,237,241,183.62
  5. Step 5: Solve for x
    x = 47,237,241,183.62/256,111.80
  6. Step 6: Final answer
    x = 184,439.93

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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.