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Finding the Fourth Proportional to 110,638.20, 165,938.10 and 40,481.40

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Solution

The fourth proportional to 110,638.20, 165,938.10 and 40,481.40 is: 60,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,638.20 : 165,938.10 = 40,481.40 : x
  2. Step 2: Convert to fraction form
    110,638.20/165,938.10 = 40,481.40/x
  3. Step 3: Cross multiply
    110,638.20x = 165,938.10 × 40,481.40
  4. Step 4: Simplify right side
    110,638.20x = 6,717,406,601.34
  5. Step 5: Solve for x
    x = 6,717,406,601.34/110,638.20
  6. Step 6: Final answer
    x = 60,715.07

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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.