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Finding the Fourth Proportional to 202,255, 279,112.02 and 112,831

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Solution

The fourth proportional to 202,255, 279,112.02 and 112,831 is: 155,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,255 : 279,112.02 = 112,831 : x
  2. Step 2: Convert to fraction form
    202,255/279,112.02 = 112,831/x
  3. Step 3: Cross multiply
    202,255x = 279,112.02 × 112,831
  4. Step 4: Simplify right side
    202,255x = 31,492,488,328.62
  5. Step 5: Solve for x
    x = 31,492,488,328.62/202,255
  6. Step 6: Final answer
    x = 155,706.85

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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.