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Finding the Fourth Proportional to 202,489, 279,434.83 and 113,065

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Solution

The fourth proportional to 202,489, 279,434.83 and 113,065 is: 156,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,489 : 279,434.83 = 113,065 : x
  2. Step 2: Convert to fraction form
    202,489/279,434.83 = 113,065/x
  3. Step 3: Cross multiply
    202,489x = 279,434.83 × 113,065
  4. Step 4: Simplify right side
    202,489x = 31,594,299,053.95
  5. Step 5: Solve for x
    x = 31,594,299,053.95/202,489
  6. Step 6: Final answer
    x = 156,029.71

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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.