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Finding the Fourth Proportional to 221,142.77, 331,619.38 and 102,801.77

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Solution

The fourth proportional to 221,142.77, 331,619.38 and 102,801.77 is: 154,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,142.77 : 331,619.38 = 102,801.77 : x
  2. Step 2: Convert to fraction form
    221,142.77/331,619.38 = 102,801.77/x
  3. Step 3: Cross multiply
    221,142.77x = 331,619.38 × 102,801.77
  4. Step 4: Simplify right side
    221,142.77x = 34,091,059,230.30
  5. Step 5: Solve for x
    x = 34,091,059,230.30/221,142.77
  6. Step 6: Final answer
    x = 154,158.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.