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Finding the Fourth Proportional to 99,761.80, 149,642.70 and 82,047.10

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Solution

The fourth proportional to 99,761.80, 149,642.70 and 82,047.10 is: 123,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.80 : 149,642.70 = 82,047.10 : x
  2. Step 2: Convert to fraction form
    99,761.80/149,642.70 = 82,047.10/x
  3. Step 3: Cross multiply
    99,761.80x = 149,642.70 × 82,047.10
  4. Step 4: Simplify right side
    99,761.80x = 12,277,749,571.17
  5. Step 5: Solve for x
    x = 12,277,749,571.17/99,761.80
  6. Step 6: Final answer
    x = 123,070.65

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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.