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Finding the Fourth Proportional to 165,109.60, 247,664.40 and 164,072.80

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Solution

The fourth proportional to 165,109.60, 247,664.40 and 164,072.80 is: 246,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,109.60 : 247,664.40 = 164,072.80 : x
  2. Step 2: Convert to fraction form
    165,109.60/247,664.40 = 164,072.80/x
  3. Step 3: Cross multiply
    165,109.60x = 247,664.40 × 164,072.80
  4. Step 4: Simplify right side
    165,109.60x = 40,634,991,568.32
  5. Step 5: Solve for x
    x = 40,634,991,568.32/165,109.60
  6. Step 6: Final answer
    x = 246,109.20

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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.