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Finding the Fourth Proportional to 149,561.63, 206,397.50 and 81,578.60

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Solution

The fourth proportional to 149,561.63, 206,397.50 and 81,578.60 is: 112,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,561.63 : 206,397.50 = 81,578.60 : x
  2. Step 2: Convert to fraction form
    149,561.63/206,397.50 = 81,578.60/x
  3. Step 3: Cross multiply
    149,561.63x = 206,397.50 × 81,578.60
  4. Step 4: Simplify right side
    149,561.63x = 16,837,619,093.50
  5. Step 5: Solve for x
    x = 16,837,619,093.50/149,561.63
  6. Step 6: Final answer
    x = 112,579.80

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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.