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Finding the Fourth Proportional to 203,426.93, 280,745.79 and 112,811.31

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Solution

The fourth proportional to 203,426.93, 280,745.79 and 112,811.31 is: 155,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,426.93 : 280,745.79 = 112,811.31 : x
  2. Step 2: Convert to fraction form
    203,426.93/280,745.79 = 112,811.31/x
  3. Step 3: Cross multiply
    203,426.93x = 280,745.79 × 112,811.31
  4. Step 4: Simplify right side
    203,426.93x = 31,671,300,346.88
  5. Step 5: Solve for x
    x = 31,671,300,346.88/203,426.93
  6. Step 6: Final answer
    x = 155,688.83

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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.