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Finding the Fourth Proportional to 256,143.88, 384,272.96 and 78,668.80

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Solution

The fourth proportional to 256,143.88, 384,272.96 and 78,668.80 is: 118,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,143.88 : 384,272.96 = 78,668.80 : x
  2. Step 2: Convert to fraction form
    256,143.88/384,272.96 = 78,668.80/x
  3. Step 3: Cross multiply
    256,143.88x = 384,272.96 × 78,668.80
  4. Step 4: Simplify right side
    256,143.88x = 30,230,292,635.65
  5. Step 5: Solve for x
    x = 30,230,292,635.65/256,143.88
  6. Step 6: Final answer
    x = 118,020.75

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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.