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Finding the Fourth Proportional to 142,393.20, 213,743.40 and 80,185.20

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Solution

The fourth proportional to 142,393.20, 213,743.40 and 80,185.20 is: 120,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,393.20 : 213,743.40 = 80,185.20 : x
  2. Step 2: Convert to fraction form
    142,393.20/213,743.40 = 80,185.20/x
  3. Step 3: Cross multiply
    142,393.20x = 213,743.40 × 80,185.20
  4. Step 4: Simplify right side
    142,393.20x = 17,139,057,277.68
  5. Step 5: Solve for x
    x = 17,139,057,277.68/142,393.20
  6. Step 6: Final answer
    x = 120,364.30

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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.