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Finding the Fourth Proportional to 78,273.64, 117,320.04 and 36,065.48

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Solution

The fourth proportional to 78,273.64, 117,320.04 and 36,065.48 is: 54,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273.64 : 117,320.04 = 36,065.48 : x
  2. Step 2: Convert to fraction form
    78,273.64/117,320.04 = 36,065.48/x
  3. Step 3: Cross multiply
    78,273.64x = 117,320.04 × 36,065.48
  4. Step 4: Simplify right side
    78,273.64x = 4,231,203,556.22
  5. Step 5: Solve for x
    x = 4,231,203,556.22/78,273.64
  6. Step 6: Final answer
    x = 54,056.56

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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.