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Finding the Fourth Proportional to 262,097, 361,694.10 and 142,865

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Solution

The fourth proportional to 262,097, 361,694.10 and 142,865 is: 197,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,097 : 361,694.10 = 142,865 : x
  2. Step 2: Convert to fraction form
    262,097/361,694.10 = 142,865/x
  3. Step 3: Cross multiply
    262,097x = 361,694.10 × 142,865
  4. Step 4: Simplify right side
    262,097x = 51,673,427,596.50
  5. Step 5: Solve for x
    x = 51,673,427,596.50/262,097
  6. Step 6: Final answer
    x = 197,153.83

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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.