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Finding the Fourth Proportional to 221,657.87, 305,888.20 and 126,164.56

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Solution

The fourth proportional to 221,657.87, 305,888.20 and 126,164.56 is: 174,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,657.87 : 305,888.20 = 126,164.56 : x
  2. Step 2: Convert to fraction form
    221,657.87/305,888.20 = 126,164.56/x
  3. Step 3: Cross multiply
    221,657.87x = 305,888.20 × 126,164.56
  4. Step 4: Simplify right side
    221,657.87x = 38,592,250,162.19
  5. Step 5: Solve for x
    x = 38,592,250,162.19/221,657.87
  6. Step 6: Final answer
    x = 174,107.29

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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.