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Finding the Fourth Proportional to 225,423, 311,106.42 and 124,821

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Solution

The fourth proportional to 225,423, 311,106.42 and 124,821 is: 172,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,423 : 311,106.42 = 124,821 : x
  2. Step 2: Convert to fraction form
    225,423/311,106.42 = 124,821/x
  3. Step 3: Cross multiply
    225,423x = 311,106.42 × 124,821
  4. Step 4: Simplify right side
    225,423x = 38,832,614,450.82
  5. Step 5: Solve for x
    x = 38,832,614,450.82/225,423
  6. Step 6: Final answer
    x = 172,265.54

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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.