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Finding the Fourth Proportional to 110,138.40, 165,156 and 64,559.97

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Solution

The fourth proportional to 110,138.40, 165,156 and 64,559.97 is: 96,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,138.40 : 165,156 = 64,559.97 : x
  2. Step 2: Convert to fraction form
    110,138.40/165,156 = 64,559.97/x
  3. Step 3: Cross multiply
    110,138.40x = 165,156 × 64,559.97
  4. Step 4: Simplify right side
    110,138.40x = 10,662,466,405.32
  5. Step 5: Solve for x
    x = 10,662,466,405.32/110,138.40
  6. Step 6: Final answer
    x = 96,809.71

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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.