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Finding the Fourth Proportional to 209,712.80, 289,416.83 and 119,034.24

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Solution

The fourth proportional to 209,712.80, 289,416.83 and 119,034.24 is: 164,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712.80 : 289,416.83 = 119,034.24 : x
  2. Step 2: Convert to fraction form
    209,712.80/289,416.83 = 119,034.24/x
  3. Step 3: Cross multiply
    209,712.80x = 289,416.83 × 119,034.24
  4. Step 4: Simplify right side
    209,712.80x = 34,450,511,807.09
  5. Step 5: Solve for x
    x = 34,450,511,807.09/209,712.80
  6. Step 6: Final answer
    x = 164,274.73

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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.