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Finding the Fourth Proportional to 220,959.04, 304,921.92 and 120,357.04

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Solution

The fourth proportional to 220,959.04, 304,921.92 and 120,357.04 is: 166,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,959.04 : 304,921.92 = 120,357.04 : x
  2. Step 2: Convert to fraction form
    220,959.04/304,921.92 = 120,357.04/x
  3. Step 3: Cross multiply
    220,959.04x = 304,921.92 × 120,357.04
  4. Step 4: Simplify right side
    220,959.04x = 36,699,499,722.32
  5. Step 5: Solve for x
    x = 36,699,499,722.32/220,959.04
  6. Step 6: Final answer
    x = 166,091.87

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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.