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Finding the Fourth Proportional to 149,903.40, 206,866.56 and 82,835.40

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Solution

The fourth proportional to 149,903.40, 206,866.56 and 82,835.40 is: 114,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,903.40 : 206,866.56 = 82,835.40 : x
  2. Step 2: Convert to fraction form
    149,903.40/206,866.56 = 82,835.40/x
  3. Step 3: Cross multiply
    149,903.40x = 206,866.56 × 82,835.40
  4. Step 4: Simplify right side
    149,903.40x = 17,135,874,244.22
  5. Step 5: Solve for x
    x = 17,135,874,244.22/149,903.40
  6. Step 6: Final answer
    x = 114,312.78

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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.