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Finding the Fourth Proportional to 221,433.39, 305,577.90 and 120,831.39

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Solution

The fourth proportional to 221,433.39, 305,577.90 and 120,831.39 is: 166,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433.39 : 305,577.90 = 120,831.39 : x
  2. Step 2: Convert to fraction form
    221,433.39/305,577.90 = 120,831.39/x
  3. Step 3: Cross multiply
    221,433.39x = 305,577.90 × 120,831.39
  4. Step 4: Simplify right side
    221,433.39x = 36,923,402,410.28
  5. Step 5: Solve for x
    x = 36,923,402,410.28/221,433.39
  6. Step 6: Final answer
    x = 166,747.22

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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.