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Finding the Fourth Proportional to 221,031.76, 305,023.82 and 120,429.76

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Solution

The fourth proportional to 221,031.76, 305,023.82 and 120,429.76 is: 166,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,031.76 : 305,023.82 = 120,429.76 : x
  2. Step 2: Convert to fraction form
    221,031.76/305,023.82 = 120,429.76/x
  3. Step 3: Cross multiply
    221,031.76x = 305,023.82 × 120,429.76
  4. Step 4: Simplify right side
    221,031.76x = 36,733,945,436.88
  5. Step 5: Solve for x
    x = 36,733,945,436.88/221,031.76
  6. Step 6: Final answer
    x = 166,193.06

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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.