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Finding the Fourth Proportional to 209,855.34, 289,684.35 and 124,956

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Solution

The fourth proportional to 209,855.34, 289,684.35 and 124,956 is: 172,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.34 : 289,684.35 = 124,956 : x
  2. Step 2: Convert to fraction form
    209,855.34/289,684.35 = 124,956/x
  3. Step 3: Cross multiply
    209,855.34x = 289,684.35 × 124,956
  4. Step 4: Simplify right side
    209,855.34x = 36,197,797,638.60
  5. Step 5: Solve for x
    x = 36,197,797,638.60/209,855.34
  6. Step 6: Final answer
    x = 172,489.29

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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.