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Finding the Fourth Proportional to 221,349, 305,461.62 and 120,747

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Solution

The fourth proportional to 221,349, 305,461.62 and 120,747 is: 166,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,349 : 305,461.62 = 120,747 : x
  2. Step 2: Convert to fraction form
    221,349/305,461.62 = 120,747/x
  3. Step 3: Cross multiply
    221,349x = 305,461.62 × 120,747
  4. Step 4: Simplify right side
    221,349x = 36,883,574,230.14
  5. Step 5: Solve for x
    x = 36,883,574,230.14/221,349
  6. Step 6: Final answer
    x = 166,630.86

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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.