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Finding the Fourth Proportional to 211,727.80, 317,822.10 and 118,415.80

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Solution

The fourth proportional to 211,727.80, 317,822.10 and 118,415.80 is: 177,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,727.80 : 317,822.10 = 118,415.80 : x
  2. Step 2: Convert to fraction form
    211,727.80/317,822.10 = 118,415.80/x
  3. Step 3: Cross multiply
    211,727.80x = 317,822.10 × 118,415.80
  4. Step 4: Simplify right side
    211,727.80x = 37,635,158,229.18
  5. Step 5: Solve for x
    x = 37,635,158,229.18/211,727.80
  6. Step 6: Final answer
    x = 177,752.56

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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.