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Finding the Fourth Proportional to 209,882.60, 289,644.75 and 119,236.91

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Solution

The fourth proportional to 209,882.60, 289,644.75 and 119,236.91 is: 164,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.60 : 289,644.75 = 119,236.91 : x
  2. Step 2: Convert to fraction form
    209,882.60/289,644.75 = 119,236.91/x
  3. Step 3: Cross multiply
    209,882.60x = 289,644.75 × 119,236.91
  4. Step 4: Simplify right side
    209,882.60x = 34,536,343,539.50
  5. Step 5: Solve for x
    x = 34,536,343,539.50/209,882.60
  6. Step 6: Final answer
    x = 164,550.77

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1.5x scale

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.