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Finding the Fourth Proportional to 236,004.80, 353,876 and 78,147.16

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Solution

The fourth proportional to 236,004.80, 353,876 and 78,147.16 is: 117,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,004.80 : 353,876 = 78,147.16 : x
  2. Step 2: Convert to fraction form
    236,004.80/353,876 = 78,147.16/x
  3. Step 3: Cross multiply
    236,004.80x = 353,876 × 78,147.16
  4. Step 4: Simplify right side
    236,004.80x = 27,654,404,392.16
  5. Step 5: Solve for x
    x = 27,654,404,392.16/236,004.80
  6. Step 6: Final answer
    x = 117,177.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.