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Finding the Fourth Proportional to 223,169.68, 307,821.27 and 142,561.39

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Solution

The fourth proportional to 223,169.68, 307,821.27 and 142,561.39 is: 196,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,169.68 : 307,821.27 = 142,561.39 : x
  2. Step 2: Convert to fraction form
    223,169.68/307,821.27 = 142,561.39/x
  3. Step 3: Cross multiply
    223,169.68x = 307,821.27 × 142,561.39
  4. Step 4: Simplify right side
    223,169.68x = 43,883,428,122.77
  5. Step 5: Solve for x
    x = 43,883,428,122.77/223,169.68
  6. Step 6: Final answer
    x = 196,637.05

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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.