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Finding the Fourth Proportional to 256,903.60, 385,336.20 and 107,105.20

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Solution

The fourth proportional to 256,903.60, 385,336.20 and 107,105.20 is: 160,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,903.60 : 385,336.20 = 107,105.20 : x
  2. Step 2: Convert to fraction form
    256,903.60/385,336.20 = 107,105.20/x
  3. Step 3: Cross multiply
    256,903.60x = 385,336.20 × 107,105.20
  4. Step 4: Simplify right side
    256,903.60x = 41,271,510,768.24
  5. Step 5: Solve for x
    x = 41,271,510,768.24/256,903.60
  6. Step 6: Final answer
    x = 160,649.80

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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.