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Finding the Fourth Proportional to 201,166.30, 301,979.85 and 118,107.10

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Solution

The fourth proportional to 201,166.30, 301,979.85 and 118,107.10 is: 177,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,166.30 : 301,979.85 = 118,107.10 : x
  2. Step 2: Convert to fraction form
    201,166.30/301,979.85 = 118,107.10/x
  3. Step 3: Cross multiply
    201,166.30x = 301,979.85 × 118,107.10
  4. Step 4: Simplify right side
    201,166.30x = 35,665,964,341.94
  5. Step 5: Solve for x
    x = 35,665,964,341.94/201,166.30
  6. Step 6: Final answer
    x = 177,295.92

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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.