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Finding the Fourth Proportional to 202,459.30, 279,388.49 and 111,813.32

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Solution

The fourth proportional to 202,459.30, 279,388.49 and 111,813.32 is: 154,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,459.30 : 279,388.49 = 111,813.32 : x
  2. Step 2: Convert to fraction form
    202,459.30/279,388.49 = 111,813.32/x
  3. Step 3: Cross multiply
    202,459.30x = 279,388.49 × 111,813.32
  4. Step 4: Simplify right side
    202,459.30x = 31,239,354,776.09
  5. Step 5: Solve for x
    x = 31,239,354,776.09/202,459.30
  6. Step 6: Final answer
    x = 154,299.43

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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.