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Finding the Fourth Proportional to 67,829.40, 101,744.10 and 28,382.40

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Solution

The fourth proportional to 67,829.40, 101,744.10 and 28,382.40 is: 42,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829.40 : 101,744.10 = 28,382.40 : x
  2. Step 2: Convert to fraction form
    67,829.40/101,744.10 = 28,382.40/x
  3. Step 3: Cross multiply
    67,829.40x = 101,744.10 × 28,382.40
  4. Step 4: Simplify right side
    67,829.40x = 2,887,741,743.84
  5. Step 5: Solve for x
    x = 2,887,741,743.84/67,829.40
  6. Step 6: Final answer
    x = 42,573.60

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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.