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Finding the Fourth Proportional to 209,763.72, 289,452.21 and 117,868.41

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Solution

The fourth proportional to 209,763.72, 289,452.21 and 117,868.41 is: 162,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,763.72 : 289,452.21 = 117,868.41 : x
  2. Step 2: Convert to fraction form
    209,763.72/289,452.21 = 117,868.41/x
  3. Step 3: Cross multiply
    209,763.72x = 289,452.21 × 117,868.41
  4. Step 4: Simplify right side
    209,763.72x = 34,117,271,763.69
  5. Step 5: Solve for x
    x = 34,117,271,763.69/209,763.72
  6. Step 6: Final answer
    x = 162,646.20

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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.