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Finding the Fourth Proportional to 221,003.76, 304,984.98 and 120,401.76

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Solution

The fourth proportional to 221,003.76, 304,984.98 and 120,401.76 is: 166,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,003.76 : 304,984.98 = 120,401.76 : x
  2. Step 2: Convert to fraction form
    221,003.76/304,984.98 = 120,401.76/x
  3. Step 3: Cross multiply
    221,003.76x = 304,984.98 × 120,401.76
  4. Step 4: Simplify right side
    221,003.76x = 36,720,728,365.56
  5. Step 5: Solve for x
    x = 36,720,728,365.56/221,003.76
  6. Step 6: Final answer
    x = 166,154.32

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1.5x scale

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.