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Finding the Fourth Proportional to 202,438.49, 279,363.47 and 111,800.57

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Solution

The fourth proportional to 202,438.49, 279,363.47 and 111,800.57 is: 154,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438.49 : 279,363.47 = 111,800.57 : x
  2. Step 2: Convert to fraction form
    202,438.49/279,363.47 = 111,800.57/x
  3. Step 3: Cross multiply
    202,438.49x = 279,363.47 × 111,800.57
  4. Step 4: Simplify right side
    202,438.49x = 31,232,993,227.36
  5. Step 5: Solve for x
    x = 31,232,993,227.36/202,438.49
  6. Step 6: Final answer
    x = 154,283.87

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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.