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Finding the Fourth Proportional to 221,598.75, 305,807.10 and 120,996.75

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Solution

The fourth proportional to 221,598.75, 305,807.10 and 120,996.75 is: 166,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,598.75 : 305,807.10 = 120,996.75 : x
  2. Step 2: Convert to fraction form
    221,598.75/305,807.10 = 120,996.75/x
  3. Step 3: Cross multiply
    221,598.75x = 305,807.10 × 120,996.75
  4. Step 4: Simplify right side
    221,598.75x = 37,001,665,226.93
  5. Step 5: Solve for x
    x = 37,001,665,226.93/221,598.75
  6. Step 6: Final answer
    x = 166,975.97

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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.