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Finding the Fourth Proportional to 221,208.73, 305,294 and 125,729.78

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Solution

The fourth proportional to 221,208.73, 305,294 and 125,729.78 is: 173,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,208.73 : 305,294 = 125,729.78 : x
  2. Step 2: Convert to fraction form
    221,208.73/305,294 = 125,729.78/x
  3. Step 3: Cross multiply
    221,208.73x = 305,294 × 125,729.78
  4. Step 4: Simplify right side
    221,208.73x = 38,384,547,455.32
  5. Step 5: Solve for x
    x = 38,384,547,455.32/221,208.73
  6. Step 6: Final answer
    x = 173,521.85

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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.