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Finding the Fourth Proportional to 256,115.76, 384,159.75 and 78,622.80

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Solution

The fourth proportional to 256,115.76, 384,159.75 and 78,622.80 is: 117,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,115.76 : 384,159.75 = 78,622.80 : x
  2. Step 2: Convert to fraction form
    256,115.76/384,159.75 = 78,622.80/x
  3. Step 3: Cross multiply
    256,115.76x = 384,159.75 × 78,622.80
  4. Step 4: Simplify right side
    256,115.76x = 30,203,715,192.30
  5. Step 5: Solve for x
    x = 30,203,715,192.30/256,115.76
  6. Step 6: Final answer
    x = 117,929.94

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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.