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Finding the Fourth Proportional to 223,716.90, 308,729.92 and 123,114.90

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Solution

The fourth proportional to 223,716.90, 308,729.92 and 123,114.90 is: 169,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,716.90 : 308,729.92 = 123,114.90 : x
  2. Step 2: Convert to fraction form
    223,716.90/308,729.92 = 123,114.90/x
  3. Step 3: Cross multiply
    223,716.90x = 308,729.92 × 123,114.90
  4. Step 4: Simplify right side
    223,716.90x = 38,009,253,227.81
  5. Step 5: Solve for x
    x = 38,009,253,227.81/223,716.90
  6. Step 6: Final answer
    x = 169,898.89

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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.