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Finding the Fourth Proportional to 218,684.51, 301,783.30 and 123,221.96

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Solution

The fourth proportional to 218,684.51, 301,783.30 and 123,221.96 is: 170,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,684.51 : 301,783.30 = 123,221.96 : x
  2. Step 2: Convert to fraction form
    218,684.51/301,783.30 = 123,221.96/x
  3. Step 3: Cross multiply
    218,684.51x = 301,783.30 × 123,221.96
  4. Step 4: Simplify right side
    218,684.51x = 37,186,328,212.35
  5. Step 5: Solve for x
    x = 37,186,328,212.35/218,684.51
  6. Step 6: Final answer
    x = 170,045.56

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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.