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Finding the Fourth Proportional to 149,751.63, 206,656.20 and 81,768.57

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Solution

The fourth proportional to 149,751.63, 206,656.20 and 81,768.57 is: 112,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,751.63 : 206,656.20 = 81,768.57 : x
  2. Step 2: Convert to fraction form
    149,751.63/206,656.20 = 81,768.57/x
  3. Step 3: Cross multiply
    149,751.63x = 206,656.20 × 81,768.57
  4. Step 4: Simplify right side
    149,751.63x = 16,897,981,180.67
  5. Step 5: Solve for x
    x = 16,897,981,180.67/149,751.63
  6. Step 6: Final answer
    x = 112,840.05

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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.