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Finding the Fourth Proportional to 256,093.90, 384,140.85 and 69,105.10

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Solution

The fourth proportional to 256,093.90, 384,140.85 and 69,105.10 is: 103,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.90 : 384,140.85 = 69,105.10 : x
  2. Step 2: Convert to fraction form
    256,093.90/384,140.85 = 69,105.10/x
  3. Step 3: Cross multiply
    256,093.90x = 384,140.85 × 69,105.10
  4. Step 4: Simplify right side
    256,093.90x = 26,546,091,853.34
  5. Step 5: Solve for x
    x = 26,546,091,853.34/256,093.90
  6. Step 6: Final answer
    x = 103,657.65

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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.