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Finding the Fourth Proportional to 256,108.83, 384,129.50 and 78,600.98

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Solution

The fourth proportional to 256,108.83, 384,129.50 and 78,600.98 is: 117,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,108.83 : 384,129.50 = 78,600.98 : x
  2. Step 2: Convert to fraction form
    256,108.83/384,129.50 = 78,600.98/x
  3. Step 3: Cross multiply
    256,108.83x = 384,129.50 × 78,600.98
  4. Step 4: Simplify right side
    256,108.83x = 30,192,952,833.26
  5. Step 5: Solve for x
    x = 30,192,952,833.26/256,108.83
  6. Step 6: Final answer
    x = 117,891.10

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1.5x scale

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.