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Finding the Fourth Proportional to 76,322.44, 114,482.40 and 20,918.44

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Solution

The fourth proportional to 76,322.44, 114,482.40 and 20,918.44 is: 31,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322.44 : 114,482.40 = 20,918.44 : x
  2. Step 2: Convert to fraction form
    76,322.44/114,482.40 = 20,918.44/x
  3. Step 3: Cross multiply
    76,322.44x = 114,482.40 × 20,918.44
  4. Step 4: Simplify right side
    76,322.44x = 2,394,793,215.46
  5. Step 5: Solve for x
    x = 2,394,793,215.46/76,322.44
  6. Step 6: Final answer
    x = 31,377.31

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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.