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Finding the Fourth Proportional to 206,277.88, 309,094.80 and 143,221

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Solution

The fourth proportional to 206,277.88, 309,094.80 and 143,221 is: 214,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,277.88 : 309,094.80 = 143,221 : x
  2. Step 2: Convert to fraction form
    206,277.88/309,094.80 = 143,221/x
  3. Step 3: Cross multiply
    206,277.88x = 309,094.80 × 143,221
  4. Step 4: Simplify right side
    206,277.88x = 44,268,866,350.80
  5. Step 5: Solve for x
    x = 44,268,866,350.80/206,277.88
  6. Step 6: Final answer
    x = 214,607.92

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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.