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Finding the Fourth Proportional to 201,313, 277,817.26 and 109,438.46

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Solution

The fourth proportional to 201,313, 277,817.26 and 109,438.46 is: 151,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313 : 277,817.26 = 109,438.46 : x
  2. Step 2: Convert to fraction form
    201,313/277,817.26 = 109,438.46/x
  3. Step 3: Cross multiply
    201,313x = 277,817.26 × 109,438.46
  4. Step 4: Simplify right side
    201,313x = 30,403,893,095.82
  5. Step 5: Solve for x
    x = 30,403,893,095.82/201,313
  6. Step 6: Final answer
    x = 151,027.97

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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.