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Finding the Fourth Proportional to 256,064.16, 384,234.16 and 124,736.16

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Solution

The fourth proportional to 256,064.16, 384,234.16 and 124,736.16 is: 187,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.16 : 384,234.16 = 124,736.16 : x
  2. Step 2: Convert to fraction form
    256,064.16/384,234.16 = 124,736.16/x
  3. Step 3: Cross multiply
    256,064.16x = 384,234.16 × 124,736.16
  4. Step 4: Simplify right side
    256,064.16x = 47,927,893,659.23
  5. Step 5: Solve for x
    x = 47,927,893,659.23/256,064.16
  6. Step 6: Final answer
    x = 187,171.42

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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.