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Finding the Fourth Proportional to 218,708.82, 301,816.80 and 123,246.18

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Solution

The fourth proportional to 218,708.82, 301,816.80 and 123,246.18 is: 170,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,708.82 : 301,816.80 = 123,246.18 : x
  2. Step 2: Convert to fraction form
    218,708.82/301,816.80 = 123,246.18/x
  3. Step 3: Cross multiply
    218,708.82x = 301,816.80 × 123,246.18
  4. Step 4: Simplify right side
    218,708.82x = 37,197,767,659.82
  5. Step 5: Solve for x
    x = 37,197,767,659.82/218,708.82
  6. Step 6: Final answer
    x = 170,078.96

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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.