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Finding the Fourth Proportional to 209,687.85, 289,358.94 and 119,031.69

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Solution

The fourth proportional to 209,687.85, 289,358.94 and 119,031.69 is: 164,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687.85 : 289,358.94 = 119,031.69 : x
  2. Step 2: Convert to fraction form
    209,687.85/289,358.94 = 119,031.69/x
  3. Step 3: Cross multiply
    209,687.85x = 289,358.94 × 119,031.69
  4. Step 4: Simplify right side
    209,687.85x = 34,442,883,644.81
  5. Step 5: Solve for x
    x = 34,442,883,644.81/209,687.85
  6. Step 6: Final answer
    x = 164,257.89

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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.