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Finding the Fourth Proportional to 111,381.60, 166,780.80 and 81,638.40

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Solution

The fourth proportional to 111,381.60, 166,780.80 and 81,638.40 is: 122,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,381.60 : 166,780.80 = 81,638.40 : x
  2. Step 2: Convert to fraction form
    111,381.60/166,780.80 = 81,638.40/x
  3. Step 3: Cross multiply
    111,381.60x = 166,780.80 × 81,638.40
  4. Step 4: Simplify right side
    111,381.60x = 13,615,717,662.72
  5. Step 5: Solve for x
    x = 13,615,717,662.72/111,381.60
  6. Step 6: Final answer
    x = 122,243.87

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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.