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Finding the Fourth Proportional to 211,978.80, 317,968.20 and 54,219.60

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Solution

The fourth proportional to 211,978.80, 317,968.20 and 54,219.60 is: 81,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.80 : 317,968.20 = 54,219.60 : x
  2. Step 2: Convert to fraction form
    211,978.80/317,968.20 = 54,219.60/x
  3. Step 3: Cross multiply
    211,978.80x = 317,968.20 × 54,219.60
  4. Step 4: Simplify right side
    211,978.80x = 17,240,108,616.72
  5. Step 5: Solve for x
    x = 17,240,108,616.72/211,978.80
  6. Step 6: Final answer
    x = 81,329.40

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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.