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Finding the Fourth Proportional to 211,540.63, 317,305.74 and 51,617.68

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Solution

The fourth proportional to 211,540.63, 317,305.74 and 51,617.68 is: 77,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,540.63 : 317,305.74 = 51,617.68 : x
  2. Step 2: Convert to fraction form
    211,540.63/317,305.74 = 51,617.68/x
  3. Step 3: Cross multiply
    211,540.63x = 317,305.74 × 51,617.68
  4. Step 4: Simplify right side
    211,540.63x = 16,378,586,149.48
  5. Step 5: Solve for x
    x = 16,378,586,149.48/211,540.63
  6. Step 6: Final answer
    x = 77,425.25

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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.