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Finding the Fourth Proportional to 226,021.70, 338,816.55 and 83,828.90

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Solution

The fourth proportional to 226,021.70, 338,816.55 and 83,828.90 is: 125,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,021.70 : 338,816.55 = 83,828.90 : x
  2. Step 2: Convert to fraction form
    226,021.70/338,816.55 = 83,828.90/x
  3. Step 3: Cross multiply
    226,021.70x = 338,816.55 × 83,828.90
  4. Step 4: Simplify right side
    226,021.70x = 28,402,618,688.30
  5. Step 5: Solve for x
    x = 28,402,618,688.30/226,021.70
  6. Step 6: Final answer
    x = 125,663.24

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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.