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Finding the Fourth Proportional to 218,453.77, 301,446.97 and 121,650.31

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Solution

The fourth proportional to 218,453.77, 301,446.97 and 121,650.31 is: 167,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,453.77 : 301,446.97 = 121,650.31 : x
  2. Step 2: Convert to fraction form
    218,453.77/301,446.97 = 121,650.31/x
  3. Step 3: Cross multiply
    218,453.77x = 301,446.97 × 121,650.31
  4. Step 4: Simplify right side
    218,453.77x = 36,671,115,233.57
  5. Step 5: Solve for x
    x = 36,671,115,233.57/218,453.77
  6. Step 6: Final answer
    x = 167,866.71

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1.5x scale

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.