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Finding the Fourth Proportional to 76,651.31, 114,977.27 and 21,247.31

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Solution

The fourth proportional to 76,651.31, 114,977.27 and 21,247.31 is: 31,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.31 : 114,977.27 = 21,247.31 : x
  2. Step 2: Convert to fraction form
    76,651.31/114,977.27 = 21,247.31/x
  3. Step 3: Cross multiply
    76,651.31x = 114,977.27 × 21,247.31
  4. Step 4: Simplify right side
    76,651.31x = 2,442,958,039.21
  5. Step 5: Solve for x
    x = 2,442,958,039.21/76,651.31
  6. Step 6: Final answer
    x = 31,871.05

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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.