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Finding the Fourth Proportional to 142,537.20, 213,805.80 and 119,986.80

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Solution

The fourth proportional to 142,537.20, 213,805.80 and 119,986.80 is: 179,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,537.20 : 213,805.80 = 119,986.80 : x
  2. Step 2: Convert to fraction form
    142,537.20/213,805.80 = 119,986.80/x
  3. Step 3: Cross multiply
    142,537.20x = 213,805.80 × 119,986.80
  4. Step 4: Simplify right side
    142,537.20x = 25,653,873,763.44
  5. Step 5: Solve for x
    x = 25,653,873,763.44/142,537.20
  6. Step 6: Final answer
    x = 179,980.20

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1.5x scale

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.