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Finding the Fourth Proportional to 162,857, 224,716.41 and 102,384.80

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Solution

The fourth proportional to 162,857, 224,716.41 and 102,384.80 is: 141,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,857 : 224,716.41 = 102,384.80 : x
  2. Step 2: Convert to fraction form
    162,857/224,716.41 = 102,384.80/x
  3. Step 3: Cross multiply
    162,857x = 224,716.41 × 102,384.80
  4. Step 4: Simplify right side
    162,857x = 23,007,544,694.57
  5. Step 5: Solve for x
    x = 23,007,544,694.57/162,857
  6. Step 6: Final answer
    x = 141,274.52

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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.