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Finding the Fourth Proportional to 201,772, 278,445.36 and 116,938.27

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Solution

The fourth proportional to 201,772, 278,445.36 and 116,938.27 is: 161,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,772 : 278,445.36 = 116,938.27 : x
  2. Step 2: Convert to fraction form
    201,772/278,445.36 = 116,938.27/x
  3. Step 3: Cross multiply
    201,772x = 278,445.36 × 116,938.27
  4. Step 4: Simplify right side
    201,772x = 32,560,918,687.93
  5. Step 5: Solve for x
    x = 32,560,918,687.93/201,772
  6. Step 6: Final answer
    x = 161,374.81

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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.