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Finding the Fourth Proportional to 149,752.55, 206,657.48 and 81,769.50

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Solution

The fourth proportional to 149,752.55, 206,657.48 and 81,769.50 is: 112,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752.55 : 206,657.48 = 81,769.50 : x
  2. Step 2: Convert to fraction form
    149,752.55/206,657.48 = 81,769.50/x
  3. Step 3: Cross multiply
    149,752.55x = 206,657.48 × 81,769.50
  4. Step 4: Simplify right side
    149,752.55x = 16,898,278,555.33
  5. Step 5: Solve for x
    x = 16,898,278,555.33/149,752.55
  6. Step 6: Final answer
    x = 112,841.34

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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.