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Finding the Fourth Proportional to 109,908.36, 164,964.60 and 43,394.40

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Solution

The fourth proportional to 109,908.36, 164,964.60 and 43,394.40 is: 65,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908.36 : 164,964.60 = 43,394.40 : x
  2. Step 2: Convert to fraction form
    109,908.36/164,964.60 = 43,394.40/x
  3. Step 3: Cross multiply
    109,908.36x = 164,964.60 × 43,394.40
  4. Step 4: Simplify right side
    109,908.36x = 7,158,539,838.24
  5. Step 5: Solve for x
    x = 7,158,539,838.24/109,908.36
  6. Step 6: Final answer
    x = 65,131.90

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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.