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Finding the Fourth Proportional to 212,161.52, 318,218.52 and 54,393.68

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Solution

The fourth proportional to 212,161.52, 318,218.52 and 54,393.68 is: 81,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,161.52 : 318,218.52 = 54,393.68 : x
  2. Step 2: Convert to fraction form
    212,161.52/318,218.52 = 54,393.68/x
  3. Step 3: Cross multiply
    212,161.52x = 318,218.52 × 54,393.68
  4. Step 4: Simplify right side
    212,161.52x = 17,309,076,346.95
  5. Step 5: Solve for x
    x = 17,309,076,346.95/212,161.52
  6. Step 6: Final answer
    x = 81,584.43

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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.