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Finding the Fourth Proportional to 211,920.30, 317,682.81 and 71,580.78

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Solution

The fourth proportional to 211,920.30, 317,682.81 and 71,580.78 is: 107,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,920.30 : 317,682.81 = 71,580.78 : x
  2. Step 2: Convert to fraction form
    211,920.30/317,682.81 = 71,580.78/x
  3. Step 3: Cross multiply
    211,920.30x = 317,682.81 × 71,580.78
  4. Step 4: Simplify right side
    211,920.30x = 22,739,983,332.39
  5. Step 5: Solve for x
    x = 22,739,983,332.39/211,920.30
  6. Step 6: Final answer
    x = 107,304.41

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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.