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Finding the Fourth Proportional to 99,765.80, 149,648.70 and 82,051.10

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Solution

The fourth proportional to 99,765.80, 149,648.70 and 82,051.10 is: 123,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.80 : 149,648.70 = 82,051.10 : x
  2. Step 2: Convert to fraction form
    99,765.80/149,648.70 = 82,051.10/x
  3. Step 3: Cross multiply
    99,765.80x = 149,648.70 × 82,051.10
  4. Step 4: Simplify right side
    99,765.80x = 12,278,840,448.57
  5. Step 5: Solve for x
    x = 12,278,840,448.57/99,765.80
  6. Step 6: Final answer
    x = 123,076.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.