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Finding the Fourth Proportional to 110,414.60, 165,621.90 and 78,921.80

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Solution

The fourth proportional to 110,414.60, 165,621.90 and 78,921.80 is: 118,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414.60 : 165,621.90 = 78,921.80 : x
  2. Step 2: Convert to fraction form
    110,414.60/165,621.90 = 78,921.80/x
  3. Step 3: Cross multiply
    110,414.60x = 165,621.90 × 78,921.80
  4. Step 4: Simplify right side
    110,414.60x = 13,071,178,467.42
  5. Step 5: Solve for x
    x = 13,071,178,467.42/110,414.60
  6. Step 6: Final answer
    x = 118,382.70

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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.