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Finding the Fourth Proportional to 218,564.93, 301,611.40 and 121,766.49

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Solution

The fourth proportional to 218,564.93, 301,611.40 and 121,766.49 is: 168,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,564.93 : 301,611.40 = 121,766.49 : x
  2. Step 2: Convert to fraction form
    218,564.93/301,611.40 = 121,766.49/x
  3. Step 3: Cross multiply
    218,564.93x = 301,611.40 × 121,766.49
  4. Step 4: Simplify right side
    218,564.93x = 36,726,161,217.57
  5. Step 5: Solve for x
    x = 36,726,161,217.57/218,564.93
  6. Step 6: Final answer
    x = 168,033.18

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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.