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Finding the Fourth Proportional to 202,758.90, 279,795.99 and 112,109.40

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Solution

The fourth proportional to 202,758.90, 279,795.99 and 112,109.40 is: 154,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,758.90 : 279,795.99 = 112,109.40 : x
  2. Step 2: Convert to fraction form
    202,758.90/279,795.99 = 112,109.40/x
  3. Step 3: Cross multiply
    202,758.90x = 279,795.99 × 112,109.40
  4. Step 4: Simplify right side
    202,758.90x = 31,367,760,561.31
  5. Step 5: Solve for x
    x = 31,367,760,561.31/202,758.90
  6. Step 6: Final answer
    x = 154,704.73

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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.