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Finding the Fourth Proportional to 220,959, 304,923.78 and 120,357

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Solution

The fourth proportional to 220,959, 304,923.78 and 120,357 is: 166,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,959 : 304,923.78 = 120,357 : x
  2. Step 2: Convert to fraction form
    220,959/304,923.78 = 120,357/x
  3. Step 3: Cross multiply
    220,959x = 304,923.78 × 120,357
  4. Step 4: Simplify right side
    220,959x = 36,699,711,389.46
  5. Step 5: Solve for x
    x = 36,699,711,389.46/220,959
  6. Step 6: Final answer
    x = 166,092.86

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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.