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Finding the Fourth Proportional to 202,298.52, 279,236.94 and 117,399

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Solution

The fourth proportional to 202,298.52, 279,236.94 and 117,399 is: 162,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.52 : 279,236.94 = 117,399 : x
  2. Step 2: Convert to fraction form
    202,298.52/279,236.94 = 117,399/x
  3. Step 3: Cross multiply
    202,298.52x = 279,236.94 × 117,399
  4. Step 4: Simplify right side
    202,298.52x = 32,782,137,519.06
  5. Step 5: Solve for x
    x = 32,782,137,519.06/202,298.52
  6. Step 6: Final answer
    x = 162,048.33

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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.