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Finding the Fourth Proportional to 220,952, 304,913.76 and 120,350

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Solution

The fourth proportional to 220,952, 304,913.76 and 120,350 is: 166,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,952 : 304,913.76 = 120,350 : x
  2. Step 2: Convert to fraction form
    220,952/304,913.76 = 120,350/x
  3. Step 3: Cross multiply
    220,952x = 304,913.76 × 120,350
  4. Step 4: Simplify right side
    220,952x = 36,696,371,016
  5. Step 5: Solve for x
    x = 36,696,371,016/220,952
  6. Step 6: Final answer
    x = 166,083

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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.