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Finding the Fourth Proportional to 211,498.31, 317,269.34 and 71,267.87

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Solution

The fourth proportional to 211,498.31, 317,269.34 and 71,267.87 is: 106,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,498.31 : 317,269.34 = 71,267.87 : x
  2. Step 2: Convert to fraction form
    211,498.31/317,269.34 = 71,267.87/x
  3. Step 3: Cross multiply
    211,498.31x = 317,269.34 × 71,267.87
  4. Step 4: Simplify right side
    211,498.31x = 22,611,110,078.11
  5. Step 5: Solve for x
    x = 22,611,110,078.11/211,498.31
  6. Step 6: Final answer
    x = 106,909.18

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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.