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Finding the Fourth Proportional to 149,763.77, 206,674.35 and 81,780.87

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Solution

The fourth proportional to 149,763.77, 206,674.35 and 81,780.87 is: 112,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,763.77 : 206,674.35 = 81,780.87 : x
  2. Step 2: Convert to fraction form
    149,763.77/206,674.35 = 81,780.87/x
  3. Step 3: Cross multiply
    149,763.77x = 206,674.35 × 81,780.87
  4. Step 4: Simplify right side
    149,763.77x = 16,902,008,149.68
  5. Step 5: Solve for x
    x = 16,902,008,149.68/149,763.77
  6. Step 6: Final answer
    x = 112,857.79

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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.