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Finding the Fourth Proportional to 221,371, 305,491.68 and 120,769

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Solution

The fourth proportional to 221,371, 305,491.68 and 120,769 is: 166,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,371 : 305,491.68 = 120,769 : x
  2. Step 2: Convert to fraction form
    221,371/305,491.68 = 120,769/x
  3. Step 3: Cross multiply
    221,371x = 305,491.68 × 120,769
  4. Step 4: Simplify right side
    221,371x = 36,893,924,701.92
  5. Step 5: Solve for x
    x = 36,893,924,701.92/221,371
  6. Step 6: Final answer
    x = 166,661.06

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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.