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Finding the Fourth Proportional to 49,412.63, 74,119.13 and 11,972.63

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Solution

The fourth proportional to 49,412.63, 74,119.13 and 11,972.63 is: 17,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412.63 : 74,119.13 = 11,972.63 : x
  2. Step 2: Convert to fraction form
    49,412.63/74,119.13 = 11,972.63/x
  3. Step 3: Cross multiply
    49,412.63x = 74,119.13 × 11,972.63
  4. Step 4: Simplify right side
    49,412.63x = 887,400,488.95
  5. Step 5: Solve for x
    x = 887,400,488.95/49,412.63
  6. Step 6: Final answer
    x = 17,958.98

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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.