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Finding the Fourth Proportional to 67,281.12, 100,941.12 and 27,830.88

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Solution

The fourth proportional to 67,281.12, 100,941.12 and 27,830.88 is: 41,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,281.12 : 100,941.12 = 27,830.88 : x
  2. Step 2: Convert to fraction form
    67,281.12/100,941.12 = 27,830.88/x
  3. Step 3: Cross multiply
    67,281.12x = 100,941.12 × 27,830.88
  4. Step 4: Simplify right side
    67,281.12x = 2,809,280,197.79
  5. Step 5: Solve for x
    x = 2,809,280,197.79/67,281.12
  6. Step 6: Final answer
    x = 41,754.36

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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.