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Finding the Fourth Proportional to 207,832.80, 311,749.20 and 74,717.40

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Solution

The fourth proportional to 207,832.80, 311,749.20 and 74,717.40 is: 112,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,832.80 : 311,749.20 = 74,717.40 : x
  2. Step 2: Convert to fraction form
    207,832.80/311,749.20 = 74,717.40/x
  3. Step 3: Cross multiply
    207,832.80x = 311,749.20 × 74,717.40
  4. Step 4: Simplify right side
    207,832.80x = 23,293,089,676.08
  5. Step 5: Solve for x
    x = 23,293,089,676.08/207,832.80
  6. Step 6: Final answer
    x = 112,076.10

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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.