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Finding the Fourth Proportional to 256,671.52, 384,686.52 and 123,516.03

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Solution

The fourth proportional to 256,671.52, 384,686.52 and 123,516.03 is: 185,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671.52 : 384,686.52 = 123,516.03 : x
  2. Step 2: Convert to fraction form
    256,671.52/384,686.52 = 123,516.03/x
  3. Step 3: Cross multiply
    256,671.52x = 384,686.52 × 123,516.03
  4. Step 4: Simplify right side
    256,671.52x = 47,514,951,744.92
  5. Step 5: Solve for x
    x = 47,514,951,744.92/256,671.52
  6. Step 6: Final answer
    x = 185,119.69

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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.