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Finding the Fourth Proportional to 201,608.40, 278,201.52 and 116,731.20

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Solution

The fourth proportional to 201,608.40, 278,201.52 and 116,731.20 is: 161,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,608.40 : 278,201.52 = 116,731.20 : x
  2. Step 2: Convert to fraction form
    201,608.40/278,201.52 = 116,731.20/x
  3. Step 3: Cross multiply
    201,608.40x = 278,201.52 × 116,731.20
  4. Step 4: Simplify right side
    201,608.40x = 32,474,797,271.42
  5. Step 5: Solve for x
    x = 32,474,797,271.42/201,608.40
  6. Step 6: Final answer
    x = 161,078.59

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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.