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Finding the Fourth Proportional to 221,805.88, 306,092.27 and 119,831.30

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Solution

The fourth proportional to 221,805.88, 306,092.27 and 119,831.30 is: 165,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,805.88 : 306,092.27 = 119,831.30 : x
  2. Step 2: Convert to fraction form
    221,805.88/306,092.27 = 119,831.30/x
  3. Step 3: Cross multiply
    221,805.88x = 306,092.27 × 119,831.30
  4. Step 4: Simplify right side
    221,805.88x = 36,679,433,876.96
  5. Step 5: Solve for x
    x = 36,679,433,876.96/221,805.88
  6. Step 6: Final answer
    x = 165,367.28

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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.