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Finding the Fourth Proportional to 202,302.75, 279,178.61 and 111,659.50

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Solution

The fourth proportional to 202,302.75, 279,178.61 and 111,659.50 is: 154,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.75 : 279,178.61 = 111,659.50 : x
  2. Step 2: Convert to fraction form
    202,302.75/279,178.61 = 111,659.50/x
  3. Step 3: Cross multiply
    202,302.75x = 279,178.61 × 111,659.50
  4. Step 4: Simplify right side
    202,302.75x = 31,172,944,003.30
  5. Step 5: Solve for x
    x = 31,172,944,003.30/202,302.75
  6. Step 6: Final answer
    x = 154,090.56

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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.