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Finding the Fourth Proportional to 202,236, 279,085.68 and 112,812

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Solution

The fourth proportional to 202,236, 279,085.68 and 112,812 is: 155,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,236 : 279,085.68 = 112,812 : x
  2. Step 2: Convert to fraction form
    202,236/279,085.68 = 112,812/x
  3. Step 3: Cross multiply
    202,236x = 279,085.68 × 112,812
  4. Step 4: Simplify right side
    202,236x = 31,484,213,732.16
  5. Step 5: Solve for x
    x = 31,484,213,732.16/202,236
  6. Step 6: Final answer
    x = 155,680.56

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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.