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Finding the Fourth Proportional to 256,005.40, 384,092.34 and 121,127.44

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Solution

The fourth proportional to 256,005.40, 384,092.34 and 121,127.44 is: 181,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,005.40 : 384,092.34 = 121,127.44 : x
  2. Step 2: Convert to fraction form
    256,005.40/384,092.34 = 121,127.44/x
  3. Step 3: Cross multiply
    256,005.40x = 384,092.34 × 121,127.44
  4. Step 4: Simplify right side
    256,005.40x = 46,524,121,867.81
  5. Step 5: Solve for x
    x = 46,524,121,867.81/256,005.40
  6. Step 6: Final answer
    x = 181,731.02

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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.