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Finding the Fourth Proportional to 221,478.50, 305,637.60 and 125,984.97

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Solution

The fourth proportional to 221,478.50, 305,637.60 and 125,984.97 is: 173,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,478.50 : 305,637.60 = 125,984.97 : x
  2. Step 2: Convert to fraction form
    221,478.50/305,637.60 = 125,984.97/x
  3. Step 3: Cross multiply
    221,478.50x = 305,637.60 × 125,984.97
  4. Step 4: Simplify right side
    221,478.50x = 38,505,744,339.32
  5. Step 5: Solve for x
    x = 38,505,744,339.32/221,478.50
  6. Step 6: Final answer
    x = 173,857.71

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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.