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Finding the Fourth Proportional to 149,651.76, 206,520.64 and 81,669.28

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Solution

The fourth proportional to 149,651.76, 206,520.64 and 81,669.28 is: 112,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,651.76 : 206,520.64 = 81,669.28 : x
  2. Step 2: Convert to fraction form
    149,651.76/206,520.64 = 81,669.28/x
  3. Step 3: Cross multiply
    149,651.76x = 206,520.64 × 81,669.28
  4. Step 4: Simplify right side
    149,651.76x = 16,866,391,973.94
  5. Step 5: Solve for x
    x = 16,866,391,973.94/149,651.76
  6. Step 6: Final answer
    x = 112,704.27

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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.