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Finding the Fourth Proportional to 211,990.80, 317,986.20 and 54,231.60

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Solution

The fourth proportional to 211,990.80, 317,986.20 and 54,231.60 is: 81,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,990.80 : 317,986.20 = 54,231.60 : x
  2. Step 2: Convert to fraction form
    211,990.80/317,986.20 = 54,231.60/x
  3. Step 3: Cross multiply
    211,990.80x = 317,986.20 × 54,231.60
  4. Step 4: Simplify right side
    211,990.80x = 17,244,900,403.92
  5. Step 5: Solve for x
    x = 17,244,900,403.92/211,990.80
  6. Step 6: Final answer
    x = 81,347.40

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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.