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Finding the Fourth Proportional to 209,903.62, 289,674.82 and 119,274.96

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Solution

The fourth proportional to 209,903.62, 289,674.82 and 119,274.96 is: 164,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,903.62 : 289,674.82 = 119,274.96 : x
  2. Step 2: Convert to fraction form
    209,903.62/289,674.82 = 119,274.96/x
  3. Step 3: Cross multiply
    209,903.62x = 289,674.82 × 119,274.96
  4. Step 4: Simplify right side
    209,903.62x = 34,550,952,568.51
  5. Step 5: Solve for x
    x = 34,550,952,568.51/209,903.62
  6. Step 6: Final answer
    x = 164,603.89

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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.