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Finding the Fourth Proportional to 180,619.64, 270,830.70 and 143,418.68

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Solution

The fourth proportional to 180,619.64, 270,830.70 and 143,418.68 is: 215,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,619.64 : 270,830.70 = 143,418.68 : x
  2. Step 2: Convert to fraction form
    180,619.64/270,830.70 = 143,418.68/x
  3. Step 3: Cross multiply
    180,619.64x = 270,830.70 × 143,418.68
  4. Step 4: Simplify right side
    180,619.64x = 38,842,181,497.48
  5. Step 5: Solve for x
    x = 38,842,181,497.48/180,619.64
  6. Step 6: Final answer
    x = 215,049.60

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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.