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Finding the Fourth Proportional to 78,049.01, 117,053.01 and 33,665.90

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Solution

The fourth proportional to 78,049.01, 117,053.01 and 33,665.90 is: 50,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.01 : 117,053.01 = 33,665.90 : x
  2. Step 2: Convert to fraction form
    78,049.01/117,053.01 = 33,665.90/x
  3. Step 3: Cross multiply
    78,049.01x = 117,053.01 × 33,665.90
  4. Step 4: Simplify right side
    78,049.01x = 3,940,694,929.36
  5. Step 5: Solve for x
    x = 3,940,694,929.36/78,049.01
  6. Step 6: Final answer
    x = 50,490.01

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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.