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Finding the Fourth Proportional to 149,880.67, 206,828.90 and 81,896.56

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Solution

The fourth proportional to 149,880.67, 206,828.90 and 81,896.56 is: 113,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,880.67 : 206,828.90 = 81,896.56 : x
  2. Step 2: Convert to fraction form
    149,880.67/206,828.90 = 81,896.56/x
  3. Step 3: Cross multiply
    149,880.67x = 206,828.90 × 81,896.56
  4. Step 4: Simplify right side
    149,880.67x = 16,938,575,418.58
  5. Step 5: Solve for x
    x = 16,938,575,418.58/149,880.67
  6. Step 6: Final answer
    x = 113,013.74

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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.