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Finding the Fourth Proportional to 218,773.44, 328,208.31 and 66,971.72

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Solution

The fourth proportional to 218,773.44, 328,208.31 and 66,971.72 is: 100,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,773.44 : 328,208.31 = 66,971.72 : x
  2. Step 2: Convert to fraction form
    218,773.44/328,208.31 = 66,971.72/x
  3. Step 3: Cross multiply
    218,773.44x = 328,208.31 × 66,971.72
  4. Step 4: Simplify right side
    218,773.44x = 21,980,675,859.51
  5. Step 5: Solve for x
    x = 21,980,675,859.51/218,773.44
  6. Step 6: Final answer
    x = 100,472.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.