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Finding the Fourth Proportional to 202,833.78, 279,905.34 and 112,187.49

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Solution

The fourth proportional to 202,833.78, 279,905.34 and 112,187.49 is: 154,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,833.78 : 279,905.34 = 112,187.49 : x
  2. Step 2: Convert to fraction form
    202,833.78/279,905.34 = 112,187.49/x
  3. Step 3: Cross multiply
    202,833.78x = 279,905.34 × 112,187.49
  4. Step 4: Simplify right side
    202,833.78x = 31,401,877,532.20
  5. Step 5: Solve for x
    x = 31,401,877,532.20/202,833.78
  6. Step 6: Final answer
    x = 154,815.82

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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.