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Finding the Fourth Proportional to 227,179, 340,812.24 and 102,520

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Solution

The fourth proportional to 227,179, 340,812.24 and 102,520 is: 153,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,179 : 340,812.24 = 102,520 : x
  2. Step 2: Convert to fraction form
    227,179/340,812.24 = 102,520/x
  3. Step 3: Cross multiply
    227,179x = 340,812.24 × 102,520
  4. Step 4: Simplify right side
    227,179x = 34,940,070,844.80
  5. Step 5: Solve for x
    x = 34,940,070,844.80/227,179
  6. Step 6: Final answer
    x = 153,799.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.