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Finding the Fourth Proportional to 114,141.80, 170,387.83 and 100,145

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Solution

The fourth proportional to 114,141.80, 170,387.83 and 100,145 is: 149,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,141.80 : 170,387.83 = 100,145 : x
  2. Step 2: Convert to fraction form
    114,141.80/170,387.83 = 100,145/x
  3. Step 3: Cross multiply
    114,141.80x = 170,387.83 × 100,145
  4. Step 4: Simplify right side
    114,141.80x = 17,063,489,235.35
  5. Step 5: Solve for x
    x = 17,063,489,235.35/114,141.80
  6. Step 6: Final answer
    x = 149,493.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.