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Finding the Fourth Proportional to 211,256.40, 316,932.60 and 71,029.20

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Solution

The fourth proportional to 211,256.40, 316,932.60 and 71,029.20 is: 106,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,256.40 : 316,932.60 = 71,029.20 : x
  2. Step 2: Convert to fraction form
    211,256.40/316,932.60 = 71,029.20/x
  3. Step 3: Cross multiply
    211,256.40x = 316,932.60 × 71,029.20
  4. Step 4: Simplify right side
    211,256.40x = 22,511,469,031.92
  5. Step 5: Solve for x
    x = 22,511,469,031.92/211,256.40
  6. Step 6: Final answer
    x = 106,559.94

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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.