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Finding the Fourth Proportional to 109,697.20, 164,528.20 and 39,540.40

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Solution

The fourth proportional to 109,697.20, 164,528.20 and 39,540.40 is: 59,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697.20 : 164,528.20 = 39,540.40 : x
  2. Step 2: Convert to fraction form
    109,697.20/164,528.20 = 39,540.40/x
  3. Step 3: Cross multiply
    109,697.20x = 164,528.20 × 39,540.40
  4. Step 4: Simplify right side
    109,697.20x = 6,505,510,839.28
  5. Step 5: Solve for x
    x = 6,505,510,839.28/109,697.20
  6. Step 6: Final answer
    x = 59,304.26

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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.