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Finding the Fourth Proportional to 206,355.36, 309,118.32 and 107,652

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Solution

The fourth proportional to 206,355.36, 309,118.32 and 107,652 is: 161,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,355.36 : 309,118.32 = 107,652 : x
  2. Step 2: Convert to fraction form
    206,355.36/309,118.32 = 107,652/x
  3. Step 3: Cross multiply
    206,355.36x = 309,118.32 × 107,652
  4. Step 4: Simplify right side
    206,355.36x = 33,277,205,384.64
  5. Step 5: Solve for x
    x = 33,277,205,384.64/206,355.36
  6. Step 6: Final answer
    x = 161,261.65

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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.