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Finding the Fourth Proportional to 102,809.20, 154,098.60 and 43,634.80

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Solution

The fourth proportional to 102,809.20, 154,098.60 and 43,634.80 is: 65,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.20 : 154,098.60 = 43,634.80 : x
  2. Step 2: Convert to fraction form
    102,809.20/154,098.60 = 43,634.80/x
  3. Step 3: Cross multiply
    102,809.20x = 154,098.60 × 43,634.80
  4. Step 4: Simplify right side
    102,809.20x = 6,724,061,591.28
  5. Step 5: Solve for x
    x = 6,724,061,591.28/102,809.20
  6. Step 6: Final answer
    x = 65,403.31

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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.