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Finding the Fourth Proportional to 67,829.20, 101,742.20 and 18,581.20

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Solution

The fourth proportional to 67,829.20, 101,742.20 and 18,581.20 is: 27,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829.20 : 101,742.20 = 18,581.20 : x
  2. Step 2: Convert to fraction form
    67,829.20/101,742.20 = 18,581.20/x
  3. Step 3: Cross multiply
    67,829.20x = 101,742.20 × 18,581.20
  4. Step 4: Simplify right side
    67,829.20x = 1,890,492,166.64
  5. Step 5: Solve for x
    x = 1,890,492,166.64/67,829.20
  6. Step 6: Final answer
    x = 27,871.36

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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.