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Finding the Fourth Proportional to 218,098.20, 326,904.30 and 84,934.20

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Solution

The fourth proportional to 218,098.20, 326,904.30 and 84,934.20 is: 127,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.20 : 326,904.30 = 84,934.20 : x
  2. Step 2: Convert to fraction form
    218,098.20/326,904.30 = 84,934.20/x
  3. Step 3: Cross multiply
    218,098.20x = 326,904.30 × 84,934.20
  4. Step 4: Simplify right side
    218,098.20x = 27,765,355,197.06
  5. Step 5: Solve for x
    x = 27,765,355,197.06/218,098.20
  6. Step 6: Final answer
    x = 127,306.67

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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.