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Finding the Fourth Proportional to 202,824, 279,910.08 and 113,400

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Solution

The fourth proportional to 202,824, 279,910.08 and 113,400 is: 156,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,824 : 279,910.08 = 113,400 : x
  2. Step 2: Convert to fraction form
    202,824/279,910.08 = 113,400/x
  3. Step 3: Cross multiply
    202,824x = 279,910.08 × 113,400
  4. Step 4: Simplify right side
    202,824x = 31,741,803,072
  5. Step 5: Solve for x
    x = 31,741,803,072/202,824
  6. Step 6: Final answer
    x = 156,499.25

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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.