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Finding the Fourth Proportional to 202,206, 279,044.28 and 112,782

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Solution

The fourth proportional to 202,206, 279,044.28 and 112,782 is: 155,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206 : 279,044.28 = 112,782 : x
  2. Step 2: Convert to fraction form
    202,206/279,044.28 = 112,782/x
  3. Step 3: Cross multiply
    202,206x = 279,044.28 × 112,782
  4. Step 4: Simplify right side
    202,206x = 31,471,171,986.96
  5. Step 5: Solve for x
    x = 31,471,171,986.96/202,206
  6. Step 6: Final answer
    x = 155,639.16

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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.