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Finding the Fourth Proportional to 102,677.80, 153,786.30 and 84,245.80

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Solution

The fourth proportional to 102,677.80, 153,786.30 and 84,245.80 is: 126,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,677.80 : 153,786.30 = 84,245.80 : x
  2. Step 2: Convert to fraction form
    102,677.80/153,786.30 = 84,245.80/x
  3. Step 3: Cross multiply
    102,677.80x = 153,786.30 × 84,245.80
  4. Step 4: Simplify right side
    102,677.80x = 12,955,849,872.54
  5. Step 5: Solve for x
    x = 12,955,849,872.54/102,677.80
  6. Step 6: Final answer
    x = 126,179.66

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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.