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Finding the Fourth Proportional to 207,746.34, 311,508.72 and 107,805.90

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Solution

The fourth proportional to 207,746.34, 311,508.72 and 107,805.90 is: 161,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,746.34 : 311,508.72 = 107,805.90 : x
  2. Step 2: Convert to fraction form
    207,746.34/311,508.72 = 107,805.90/x
  3. Step 3: Cross multiply
    207,746.34x = 311,508.72 × 107,805.90
  4. Step 4: Simplify right side
    207,746.34x = 33,582,477,917.45
  5. Step 5: Solve for x
    x = 33,582,477,917.45/207,746.34
  6. Step 6: Final answer
    x = 161,651.36

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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.