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Finding the Fourth Proportional to 76,824.72, 115,003.80 and 74,258.64

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Solution

The fourth proportional to 76,824.72, 115,003.80 and 74,258.64 is: 111,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,824.72 : 115,003.80 = 74,258.64 : x
  2. Step 2: Convert to fraction form
    76,824.72/115,003.80 = 74,258.64/x
  3. Step 3: Cross multiply
    76,824.72x = 115,003.80 × 74,258.64
  4. Step 4: Simplify right side
    76,824.72x = 8,540,025,782.83
  5. Step 5: Solve for x
    x = 8,540,025,782.83/76,824.72
  6. Step 6: Final answer
    x = 111,162.47

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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.