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Finding the Fourth Proportional to 211,568.82, 317,354.31 and 71,328.66

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Solution

The fourth proportional to 211,568.82, 317,354.31 and 71,328.66 is: 106,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,568.82 : 317,354.31 = 71,328.66 : x
  2. Step 2: Convert to fraction form
    211,568.82/317,354.31 = 71,328.66/x
  3. Step 3: Cross multiply
    211,568.82x = 317,354.31 × 71,328.66
  4. Step 4: Simplify right side
    211,568.82x = 22,636,457,677.52
  5. Step 5: Solve for x
    x = 22,636,457,677.52/211,568.82
  6. Step 6: Final answer
    x = 106,993.35

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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.