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Finding the Fourth Proportional to 109,662.20, 164,274.60 and 76,419.80

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Solution

The fourth proportional to 109,662.20, 164,274.60 and 76,419.80 is: 114,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.20 : 164,274.60 = 76,419.80 : x
  2. Step 2: Convert to fraction form
    109,662.20/164,274.60 = 76,419.80/x
  3. Step 3: Cross multiply
    109,662.20x = 164,274.60 × 76,419.80
  4. Step 4: Simplify right side
    109,662.20x = 12,553,832,077.08
  5. Step 5: Solve for x
    x = 12,553,832,077.08/109,662.20
  6. Step 6: Final answer
    x = 114,477.30

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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.