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Finding the Fourth Proportional to 149,284.87, 206,013.30 and 81,301.96

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Solution

The fourth proportional to 149,284.87, 206,013.30 and 81,301.96 is: 112,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,284.87 : 206,013.30 = 81,301.96 : x
  2. Step 2: Convert to fraction form
    149,284.87/206,013.30 = 81,301.96/x
  3. Step 3: Cross multiply
    149,284.87x = 206,013.30 × 81,301.96
  4. Step 4: Simplify right side
    149,284.87x = 16,749,285,076.07
  5. Step 5: Solve for x
    x = 16,749,285,076.07/149,284.87
  6. Step 6: Final answer
    x = 112,196.80

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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.