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Finding the Fourth Proportional to 220,708.50, 304,556.67 and 123,890.19

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Solution

The fourth proportional to 220,708.50, 304,556.67 and 123,890.19 is: 170,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,708.50 : 304,556.67 = 123,890.19 : x
  2. Step 2: Convert to fraction form
    220,708.50/304,556.67 = 123,890.19/x
  3. Step 3: Cross multiply
    220,708.50x = 304,556.67 × 123,890.19
  4. Step 4: Simplify right side
    220,708.50x = 37,731,583,712.07
  5. Step 5: Solve for x
    x = 37,731,583,712.07/220,708.50
  6. Step 6: Final answer
    x = 170,956.64

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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.