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Finding the Fourth Proportional to 214,138.83, 295,511.45 and 123,493.49

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Solution

The fourth proportional to 214,138.83, 295,511.45 and 123,493.49 is: 170,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,138.83 : 295,511.45 = 123,493.49 : x
  2. Step 2: Convert to fraction form
    214,138.83/295,511.45 = 123,493.49/x
  3. Step 3: Cross multiply
    214,138.83x = 295,511.45 × 123,493.49
  4. Step 4: Simplify right side
    214,138.83x = 36,493,738,200.44
  5. Step 5: Solve for x
    x = 36,493,738,200.44/214,138.83
  6. Step 6: Final answer
    x = 170,420.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.