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Finding the Fourth Proportional to 221,041.25, 305,036.97 and 120,439.25

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Solution

The fourth proportional to 221,041.25, 305,036.97 and 120,439.25 is: 166,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,041.25 : 305,036.97 = 120,439.25 : x
  2. Step 2: Convert to fraction form
    221,041.25/305,036.97 = 120,439.25/x
  3. Step 3: Cross multiply
    221,041.25x = 305,036.97 × 120,439.25
  4. Step 4: Simplify right side
    221,041.25x = 36,738,423,889.07
  5. Step 5: Solve for x
    x = 36,738,423,889.07/221,041.25
  6. Step 6: Final answer
    x = 166,206.19

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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.