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Finding the Fourth Proportional to 221,572.94, 305,769.06 and 120,970.94

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Solution

The fourth proportional to 221,572.94, 305,769.06 and 120,970.94 is: 166,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572.94 : 305,769.06 = 120,970.94 : x
  2. Step 2: Convert to fraction form
    221,572.94/305,769.06 = 120,970.94/x
  3. Step 3: Cross multiply
    221,572.94x = 305,769.06 × 120,970.94
  4. Step 4: Simplify right side
    221,572.94x = 36,989,170,611.12
  5. Step 5: Solve for x
    x = 36,989,170,611.12/221,572.94
  6. Step 6: Final answer
    x = 166,939.03

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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.