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Finding the Fourth Proportional to 203,462.38, 280,766.64 and 112,812.94

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Solution

The fourth proportional to 203,462.38, 280,766.64 and 112,812.94 is: 155,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462.38 : 280,766.64 = 112,812.94 : x
  2. Step 2: Convert to fraction form
    203,462.38/280,766.64 = 112,812.94/x
  3. Step 3: Cross multiply
    203,462.38x = 280,766.64 × 112,812.94
  4. Step 4: Simplify right side
    203,462.38x = 31,674,110,112.32
  5. Step 5: Solve for x
    x = 31,674,110,112.32/203,462.38
  6. Step 6: Final answer
    x = 155,675.51

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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.