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Finding the Fourth Proportional to 149,284.64, 206,005.20 and 82,203.68

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Solution

The fourth proportional to 149,284.64, 206,005.20 and 82,203.68 is: 113,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,284.64 : 206,005.20 = 82,203.68 : x
  2. Step 2: Convert to fraction form
    149,284.64/206,005.20 = 82,203.68/x
  3. Step 3: Cross multiply
    149,284.64x = 206,005.20 × 82,203.68
  4. Step 4: Simplify right side
    149,284.64x = 16,934,385,539.14
  5. Step 5: Solve for x
    x = 16,934,385,539.14/149,284.64
  6. Step 6: Final answer
    x = 113,436.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.