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Finding the Fourth Proportional to 226,400, 312,442.26 and 125,798

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Solution

The fourth proportional to 226,400, 312,442.26 and 125,798 is: 173,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,400 : 312,442.26 = 125,798 : x
  2. Step 2: Convert to fraction form
    226,400/312,442.26 = 125,798/x
  3. Step 3: Cross multiply
    226,400x = 312,442.26 × 125,798
  4. Step 4: Simplify right side
    226,400x = 39,304,611,423.48
  5. Step 5: Solve for x
    x = 39,304,611,423.48/226,400
  6. Step 6: Final answer
    x = 173,606.94

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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.