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Finding the Fourth Proportional to 106,905.60, 160,372.80 and 36,806.40

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Solution

The fourth proportional to 106,905.60, 160,372.80 and 36,806.40 is: 55,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,905.60 : 160,372.80 = 36,806.40 : x
  2. Step 2: Convert to fraction form
    106,905.60/160,372.80 = 36,806.40/x
  3. Step 3: Cross multiply
    106,905.60x = 160,372.80 × 36,806.40
  4. Step 4: Simplify right side
    106,905.60x = 5,902,745,425.92
  5. Step 5: Solve for x
    x = 5,902,745,425.92/106,905.60
  6. Step 6: Final answer
    x = 55,214.56

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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.