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Finding the Fourth Proportional to 256,094.40, 384,141.60 and 69,105.60

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Solution

The fourth proportional to 256,094.40, 384,141.60 and 69,105.60 is: 103,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.40 : 384,141.60 = 69,105.60 : x
  2. Step 2: Convert to fraction form
    256,094.40/384,141.60 = 69,105.60/x
  3. Step 3: Cross multiply
    256,094.40x = 384,141.60 × 69,105.60
  4. Step 4: Simplify right side
    256,094.40x = 26,546,335,752.96
  5. Step 5: Solve for x
    x = 26,546,335,752.96/256,094.40
  6. Step 6: Final answer
    x = 103,658.40

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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.