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Finding the Fourth Proportional to 256,697.52, 384,725.25 and 123,542.16

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Solution

The fourth proportional to 256,697.52, 384,725.25 and 123,542.16 is: 185,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,697.52 : 384,725.25 = 123,542.16 : x
  2. Step 2: Convert to fraction form
    256,697.52/384,725.25 = 123,542.16/x
  3. Step 3: Cross multiply
    256,697.52x = 384,725.25 × 123,542.16
  4. Step 4: Simplify right side
    256,697.52x = 47,529,788,391.54
  5. Step 5: Solve for x
    x = 47,529,788,391.54/256,697.52
  6. Step 6: Final answer
    x = 185,158.74

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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.