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Finding the Fourth Proportional to 207,953.72, 311,972.70 and 67,674.68

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Solution

The fourth proportional to 207,953.72, 311,972.70 and 67,674.68 is: 101,525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953.72 : 311,972.70 = 67,674.68 : x
  2. Step 2: Convert to fraction form
    207,953.72/311,972.70 = 67,674.68/x
  3. Step 3: Cross multiply
    207,953.72x = 311,972.70 × 67,674.68
  4. Step 4: Simplify right side
    207,953.72x = 21,112,652,641.24
  5. Step 5: Solve for x
    x = 21,112,652,641.24/207,953.72
  6. Step 6: Final answer
    x = 101,525.73

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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.