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Finding the Fourth Proportional to 202,257, 279,114.78 and 112,833

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Solution

The fourth proportional to 202,257, 279,114.78 and 112,833 is: 155,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,257 : 279,114.78 = 112,833 : x
  2. Step 2: Convert to fraction form
    202,257/279,114.78 = 112,833/x
  3. Step 3: Cross multiply
    202,257x = 279,114.78 × 112,833
  4. Step 4: Simplify right side
    202,257x = 31,493,357,971.74
  5. Step 5: Solve for x
    x = 31,493,357,971.74/202,257
  6. Step 6: Final answer
    x = 155,709.61

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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.