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Finding the Fourth Proportional to 84,206.80, 126,189.56 and 61,844.56

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Solution

The fourth proportional to 84,206.80, 126,189.56 and 61,844.56 is: 92,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.80 : 126,189.56 = 61,844.56 : x
  2. Step 2: Convert to fraction form
    84,206.80/126,189.56 = 61,844.56/x
  3. Step 3: Cross multiply
    84,206.80x = 126,189.56 × 61,844.56
  4. Step 4: Simplify right side
    84,206.80x = 7,804,137,814.79
  5. Step 5: Solve for x
    x = 7,804,137,814.79/84,206.80
  6. Step 6: Final answer
    x = 92,678.24

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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.