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Finding the Fourth Proportional to 149,751.96, 206,656.10 and 81,768.74

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Solution

The fourth proportional to 149,751.96, 206,656.10 and 81,768.74 is: 112,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,751.96 : 206,656.10 = 81,768.74 : x
  2. Step 2: Convert to fraction form
    149,751.96/206,656.10 = 81,768.74/x
  3. Step 3: Cross multiply
    149,751.96x = 206,656.10 × 81,768.74
  4. Step 4: Simplify right side
    149,751.96x = 16,898,008,910.31
  5. Step 5: Solve for x
    x = 16,898,008,910.31/149,751.96
  6. Step 6: Final answer
    x = 112,839.98

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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.