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Finding the Fourth Proportional to 109,635.60, 164,404.80 and 50,489.40

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Solution

The fourth proportional to 109,635.60, 164,404.80 and 50,489.40 is: 75,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,635.60 : 164,404.80 = 50,489.40 : x
  2. Step 2: Convert to fraction form
    109,635.60/164,404.80 = 50,489.40/x
  3. Step 3: Cross multiply
    109,635.60x = 164,404.80 × 50,489.40
  4. Step 4: Simplify right side
    109,635.60x = 8,300,699,709.12
  5. Step 5: Solve for x
    x = 8,300,699,709.12/109,635.60
  6. Step 6: Final answer
    x = 75,711.72

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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.