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Finding the Fourth Proportional to 226,221, 312,184.98 and 125,619

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Solution

The fourth proportional to 226,221, 312,184.98 and 125,619 is: 173,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,221 : 312,184.98 = 125,619 : x
  2. Step 2: Convert to fraction form
    226,221/312,184.98 = 125,619/x
  3. Step 3: Cross multiply
    226,221x = 312,184.98 × 125,619
  4. Step 4: Simplify right side
    226,221x = 39,216,365,002.62
  5. Step 5: Solve for x
    x = 39,216,365,002.62/226,221
  6. Step 6: Final answer
    x = 173,354.22

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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.