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Finding the Fourth Proportional to 221,031.50, 305,023.47 and 120,429.50

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Solution

The fourth proportional to 221,031.50, 305,023.47 and 120,429.50 is: 166,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,031.50 : 305,023.47 = 120,429.50 : x
  2. Step 2: Convert to fraction form
    221,031.50/305,023.47 = 120,429.50/x
  3. Step 3: Cross multiply
    221,031.50x = 305,023.47 × 120,429.50
  4. Step 4: Simplify right side
    221,031.50x = 36,733,823,980.37
  5. Step 5: Solve for x
    x = 36,733,823,980.37/221,031.50
  6. Step 6: Final answer
    x = 166,192.71

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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.