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Finding the Fourth Proportional to 145,855.20, 218,782.80 and 133,389.30

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Solution

The fourth proportional to 145,855.20, 218,782.80 and 133,389.30 is: 200,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855.20 : 218,782.80 = 133,389.30 : x
  2. Step 2: Convert to fraction form
    145,855.20/218,782.80 = 133,389.30/x
  3. Step 3: Cross multiply
    145,855.20x = 218,782.80 × 133,389.30
  4. Step 4: Simplify right side
    145,855.20x = 29,183,284,544.04
  5. Step 5: Solve for x
    x = 29,183,284,544.04/145,855.20
  6. Step 6: Final answer
    x = 200,083.95

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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.