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Finding the Fourth Proportional to 201,544.48, 278,123.03 and 109,664.14

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Solution

The fourth proportional to 201,544.48, 278,123.03 and 109,664.14 is: 151,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,544.48 : 278,123.03 = 109,664.14 : x
  2. Step 2: Convert to fraction form
    201,544.48/278,123.03 = 109,664.14/x
  3. Step 3: Cross multiply
    201,544.48x = 278,123.03 × 109,664.14
  4. Step 4: Simplify right side
    201,544.48x = 30,500,122,899.14
  5. Step 5: Solve for x
    x = 30,500,122,899.14/201,544.48
  6. Step 6: Final answer
    x = 151,331.97

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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.