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Finding the Fourth Proportional to 206,166.44, 309,368.60 and 111,396.89

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Solution

The fourth proportional to 206,166.44, 309,368.60 and 111,396.89 is: 167,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.44 : 309,368.60 = 111,396.89 : x
  2. Step 2: Convert to fraction form
    206,166.44/309,368.60 = 111,396.89/x
  3. Step 3: Cross multiply
    206,166.44x = 309,368.60 × 111,396.89
  4. Step 4: Simplify right side
    206,166.44x = 34,462,697,799.83
  5. Step 5: Solve for x
    x = 34,462,697,799.83/206,166.44
  6. Step 6: Final answer
    x = 167,159.60

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1.5x scale

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.