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Finding the Fourth Proportional to 218,568.66, 301,616.64 and 121,770.24

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Solution

The fourth proportional to 218,568.66, 301,616.64 and 121,770.24 is: 168,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,568.66 : 301,616.64 = 121,770.24 : x
  2. Step 2: Convert to fraction form
    218,568.66/301,616.64 = 121,770.24/x
  3. Step 3: Cross multiply
    218,568.66x = 301,616.64 × 121,770.24
  4. Step 4: Simplify right side
    218,568.66x = 36,727,930,640.79
  5. Step 5: Solve for x
    x = 36,727,930,640.79/218,568.66
  6. Step 6: Final answer
    x = 168,038.41

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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.