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Finding the Fourth Proportional to 223,781.13, 308,855.43 and 143,204.76

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Solution

The fourth proportional to 223,781.13, 308,855.43 and 143,204.76 is: 197,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,781.13 : 308,855.43 = 143,204.76 : x
  2. Step 2: Convert to fraction form
    223,781.13/308,855.43 = 143,204.76/x
  3. Step 3: Cross multiply
    223,781.13x = 308,855.43 × 143,204.76
  4. Step 4: Simplify right side
    223,781.13x = 44,229,567,727.85
  5. Step 5: Solve for x
    x = 44,229,567,727.85/223,781.13
  6. Step 6: Final answer
    x = 197,646.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.