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Finding the Fourth Proportional to 165,080.70, 247,621.05 and 105,983.10

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Solution

The fourth proportional to 165,080.70, 247,621.05 and 105,983.10 is: 158,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,080.70 : 247,621.05 = 105,983.10 : x
  2. Step 2: Convert to fraction form
    165,080.70/247,621.05 = 105,983.10/x
  3. Step 3: Cross multiply
    165,080.70x = 247,621.05 × 105,983.10
  4. Step 4: Simplify right side
    165,080.70x = 26,243,646,504.26
  5. Step 5: Solve for x
    x = 26,243,646,504.26/165,080.70
  6. Step 6: Final answer
    x = 158,974.65

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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.