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Finding the Fourth Proportional to 139,855.20, 209,782.80 and 100,780.80

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Solution

The fourth proportional to 139,855.20, 209,782.80 and 100,780.80 is: 151,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,855.20 : 209,782.80 = 100,780.80 : x
  2. Step 2: Convert to fraction form
    139,855.20/209,782.80 = 100,780.80/x
  3. Step 3: Cross multiply
    139,855.20x = 209,782.80 × 100,780.80
  4. Step 4: Simplify right side
    139,855.20x = 21,142,078,410.24
  5. Step 5: Solve for x
    x = 21,142,078,410.24/139,855.20
  6. Step 6: Final answer
    x = 151,171.20

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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.