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Finding the Fourth Proportional to 221,139, 305,172.36 and 120,537

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Solution

The fourth proportional to 221,139, 305,172.36 and 120,537 is: 166,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,139 : 305,172.36 = 120,537 : x
  2. Step 2: Convert to fraction form
    221,139/305,172.36 = 120,537/x
  3. Step 3: Cross multiply
    221,139x = 305,172.36 × 120,537
  4. Step 4: Simplify right side
    221,139x = 36,784,560,757.32
  5. Step 5: Solve for x
    x = 36,784,560,757.32/221,139
  6. Step 6: Final answer
    x = 166,341.35

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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.