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Finding the Fourth Proportional to 202,260, 279,118.92 and 112,836

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Solution

The fourth proportional to 202,260, 279,118.92 and 112,836 is: 155,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,260 : 279,118.92 = 112,836 : x
  2. Step 2: Convert to fraction form
    202,260/279,118.92 = 112,836/x
  3. Step 3: Cross multiply
    202,260x = 279,118.92 × 112,836
  4. Step 4: Simplify right side
    202,260x = 31,494,662,457.12
  5. Step 5: Solve for x
    x = 31,494,662,457.12/202,260
  6. Step 6: Final answer
    x = 155,713.75

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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.