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Finding the Fourth Proportional to 202,643.14, 279,638.82 and 111,994.42

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Solution

The fourth proportional to 202,643.14, 279,638.82 and 111,994.42 is: 154,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.14 : 279,638.82 = 111,994.42 : x
  2. Step 2: Convert to fraction form
    202,643.14/279,638.82 = 111,994.42/x
  3. Step 3: Cross multiply
    202,643.14x = 279,638.82 × 111,994.42
  4. Step 4: Simplify right side
    202,643.14x = 31,317,987,455.38
  5. Step 5: Solve for x
    x = 31,317,987,455.38/202,643.14
  6. Step 6: Final answer
    x = 154,547.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.