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Finding the Fourth Proportional to 218,329.78, 301,292.97 and 121,532.10

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Solution

The fourth proportional to 218,329.78, 301,292.97 and 121,532.10 is: 167,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,329.78 : 301,292.97 = 121,532.10 : x
  2. Step 2: Convert to fraction form
    218,329.78/301,292.97 = 121,532.10/x
  3. Step 3: Cross multiply
    218,329.78x = 301,292.97 × 121,532.10
  4. Step 4: Simplify right side
    218,329.78x = 36,616,765,773.74
  5. Step 5: Solve for x
    x = 36,616,765,773.74/218,329.78
  6. Step 6: Final answer
    x = 167,713.11

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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.