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Finding the Fourth Proportional to 67,102.40, 100,394.40 and 43,774.40

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Solution

The fourth proportional to 67,102.40, 100,394.40 and 43,774.40 is: 65,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,102.40 : 100,394.40 = 43,774.40 : x
  2. Step 2: Convert to fraction form
    67,102.40/100,394.40 = 43,774.40/x
  3. Step 3: Cross multiply
    67,102.40x = 100,394.40 × 43,774.40
  4. Step 4: Simplify right side
    67,102.40x = 4,394,704,623.36
  5. Step 5: Solve for x
    x = 4,394,704,623.36/67,102.40
  6. Step 6: Final answer
    x = 65,492.51

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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.