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Finding the Fourth Proportional to 203,238.87, 280,018 and 134,205.74

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Solution

The fourth proportional to 203,238.87, 280,018 and 134,205.74 is: 184,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,238.87 : 280,018 = 134,205.74 : x
  2. Step 2: Convert to fraction form
    203,238.87/280,018 = 134,205.74/x
  3. Step 3: Cross multiply
    203,238.87x = 280,018 × 134,205.74
  4. Step 4: Simplify right side
    203,238.87x = 37,580,022,903.32
  5. Step 5: Solve for x
    x = 37,580,022,903.32/203,238.87
  6. Step 6: Final answer
    x = 184,905.69

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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.