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Finding the Fourth Proportional to 206,166.19, 309,368.22 and 111,396.64

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Solution

The fourth proportional to 206,166.19, 309,368.22 and 111,396.64 is: 167,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.19 : 309,368.22 = 111,396.64 : x
  2. Step 2: Convert to fraction form
    206,166.19/309,368.22 = 111,396.64/x
  3. Step 3: Cross multiply
    206,166.19x = 309,368.22 × 111,396.64
  4. Step 4: Simplify right side
    206,166.19x = 34,462,578,126.96
  5. Step 5: Solve for x
    x = 34,462,578,126.96/206,166.19
  6. Step 6: Final answer
    x = 167,159.22

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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.