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Finding the Fourth Proportional to 76,343.50, 114,518.49 and 20,939.50

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Solution

The fourth proportional to 76,343.50, 114,518.49 and 20,939.50 is: 31,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.50 : 114,518.49 = 20,939.50 : x
  2. Step 2: Convert to fraction form
    76,343.50/114,518.49 = 20,939.50/x
  3. Step 3: Cross multiply
    76,343.50x = 114,518.49 × 20,939.50
  4. Step 4: Simplify right side
    76,343.50x = 2,397,959,921.36
  5. Step 5: Solve for x
    x = 2,397,959,921.36/76,343.50
  6. Step 6: Final answer
    x = 31,410.14

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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.