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Finding the Fourth Proportional to 109,327.40, 164,019.90 and 39,199.40

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Solution

The fourth proportional to 109,327.40, 164,019.90 and 39,199.40 is: 58,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,327.40 : 164,019.90 = 39,199.40 : x
  2. Step 2: Convert to fraction form
    109,327.40/164,019.90 = 39,199.40/x
  3. Step 3: Cross multiply
    109,327.40x = 164,019.90 × 39,199.40
  4. Step 4: Simplify right side
    109,327.40x = 6,429,481,668.06
  5. Step 5: Solve for x
    x = 6,429,481,668.06/109,327.40
  6. Step 6: Final answer
    x = 58,809.43

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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.