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Finding the Fourth Proportional to 211,524.31, 317,308.34 and 71,293.87

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Solution

The fourth proportional to 211,524.31, 317,308.34 and 71,293.87 is: 106,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524.31 : 317,308.34 = 71,293.87 : x
  2. Step 2: Convert to fraction form
    211,524.31/317,308.34 = 71,293.87/x
  3. Step 3: Cross multiply
    211,524.31x = 317,308.34 × 71,293.87
  4. Step 4: Simplify right side
    211,524.31x = 22,622,139,541.88
  5. Step 5: Solve for x
    x = 22,622,139,541.88/211,524.31
  6. Step 6: Final answer
    x = 106,948.18

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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.