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Finding the Fourth Proportional to 219,957.10, 329,935.65 and 163,969.90

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Solution

The fourth proportional to 219,957.10, 329,935.65 and 163,969.90 is: 245,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,957.10 : 329,935.65 = 163,969.90 : x
  2. Step 2: Convert to fraction form
    219,957.10/329,935.65 = 163,969.90/x
  3. Step 3: Cross multiply
    219,957.10x = 329,935.65 × 163,969.90
  4. Step 4: Simplify right side
    219,957.10x = 54,099,515,536.94
  5. Step 5: Solve for x
    x = 54,099,515,536.94/219,957.10
  6. Step 6: Final answer
    x = 245,954.85

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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.