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Finding the Fourth Proportional to 201,798, 278,481.24 and 116,964.27

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Solution

The fourth proportional to 201,798, 278,481.24 and 116,964.27 is: 161,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,798 : 278,481.24 = 116,964.27 : x
  2. Step 2: Convert to fraction form
    201,798/278,481.24 = 116,964.27/x
  3. Step 3: Cross multiply
    201,798x = 278,481.24 × 116,964.27
  4. Step 4: Simplify right side
    201,798x = 32,572,354,945.29
  5. Step 5: Solve for x
    x = 32,572,354,945.29/201,798
  6. Step 6: Final answer
    x = 161,410.69

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1.5x scale

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.