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Finding the Fourth Proportional to 209,715.80, 289,420.97 and 119,037.24

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Solution

The fourth proportional to 209,715.80, 289,420.97 and 119,037.24 is: 164,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.80 : 289,420.97 = 119,037.24 : x
  2. Step 2: Convert to fraction form
    209,715.80/289,420.97 = 119,037.24/x
  3. Step 3: Cross multiply
    209,715.80x = 289,420.97 × 119,037.24
  4. Step 4: Simplify right side
    209,715.80x = 34,451,872,871.74
  5. Step 5: Solve for x
    x = 34,451,872,871.74/209,715.80
  6. Step 6: Final answer
    x = 164,278.87

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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.